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Finding the Fourth Proportional to 10,892.80, 15,032.40 and 6,177.28

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Solution

The fourth proportional to 10,892.80, 15,032.40 and 6,177.28 is: 8,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.80 : 15,032.40 = 6,177.28 : x
  2. Step 2: Convert to fraction form
    10,892.80/15,032.40 = 6,177.28/x
  3. Step 3: Cross multiply
    10,892.80x = 15,032.40 × 6,177.28
  4. Step 4: Simplify right side
    10,892.80x = 92,859,343.87
  5. Step 5: Solve for x
    x = 92,859,343.87/10,892.80
  6. Step 6: Final answer
    x = 8,524.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.