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Finding the Fourth Proportional to 7,894.64, 11,842.01 and 2,051.26

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Solution

The fourth proportional to 7,894.64, 11,842.01 and 2,051.26 is: 3,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.64 : 11,842.01 = 2,051.26 : x
  2. Step 2: Convert to fraction form
    7,894.64/11,842.01 = 2,051.26/x
  3. Step 3: Cross multiply
    7,894.64x = 11,842.01 × 2,051.26
  4. Step 4: Simplify right side
    7,894.64x = 24,291,041.43
  5. Step 5: Solve for x
    x = 24,291,041.43/7,894.64
  6. Step 6: Final answer
    x = 3,076.90

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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.