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Finding the Fourth Proportional to 7,674.55, 11,493.60 and 4,892.50

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Solution

The fourth proportional to 7,674.55, 11,493.60 and 4,892.50 is: 7,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.55 : 11,493.60 = 4,892.50 : x
  2. Step 2: Convert to fraction form
    7,674.55/11,493.60 = 4,892.50/x
  3. Step 3: Cross multiply
    7,674.55x = 11,493.60 × 4,892.50
  4. Step 4: Simplify right side
    7,674.55x = 56,232,434.02
  5. Step 5: Solve for x
    x = 56,232,434.02/7,674.55
  6. Step 6: Final answer
    x = 7,327.13

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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.