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Finding the Fourth Proportional to 10,061.54, 13,886.58 and 5,869.78

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Solution

The fourth proportional to 10,061.54, 13,886.58 and 5,869.78 is: 8,101.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.54 : 13,886.58 = 5,869.78 : x
  2. Step 2: Convert to fraction form
    10,061.54/13,886.58 = 5,869.78/x
  3. Step 3: Cross multiply
    10,061.54x = 13,886.58 × 5,869.78
  4. Step 4: Simplify right side
    10,061.54x = 81,511,169.55
  5. Step 5: Solve for x
    x = 81,511,169.55/10,061.54
  6. Step 6: Final answer
    x = 8,101.26

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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.