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Finding the Fourth Proportional to 10,777.60, 14,874.27 and 6,061.78

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Solution

The fourth proportional to 10,777.60, 14,874.27 and 6,061.78 is: 8,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.60 : 14,874.27 = 6,061.78 : x
  2. Step 2: Convert to fraction form
    10,777.60/14,874.27 = 6,061.78/x
  3. Step 3: Cross multiply
    10,777.60x = 14,874.27 × 6,061.78
  4. Step 4: Simplify right side
    10,777.60x = 90,164,552.40
  5. Step 5: Solve for x
    x = 90,164,552.40/10,777.60
  6. Step 6: Final answer
    x = 8,365.92

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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.