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Finding the Fourth Proportional to 7,842,381.60, 11,763,581.64 and 2,451,060.24

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Solution

The fourth proportional to 7,842,381.60, 11,763,581.64 and 2,451,060.24 is: 3,676,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842,381.60 : 11,763,581.64 = 2,451,060.24 : x
  2. Step 2: Convert to fraction form
    7,842,381.60/11,763,581.64 = 2,451,060.24/x
  3. Step 3: Cross multiply
    7,842,381.60x = 11,763,581.64 × 2,451,060.24
  4. Step 4: Simplify right side
    7,842,381.60x = 28,833,247,237,798.00
  5. Step 5: Solve for x
    x = 28,833,247,237,798.00/7,842,381.60
  6. Step 6: Final answer
    x = 3,676,593.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.