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Finding the Fourth Proportional to 10,914.35, 15,061.14 and 6,439.50

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Solution

The fourth proportional to 10,914.35, 15,061.14 and 6,439.50 is: 8,886.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.35 : 15,061.14 = 6,439.50 : x
  2. Step 2: Convert to fraction form
    10,914.35/15,061.14 = 6,439.50/x
  3. Step 3: Cross multiply
    10,914.35x = 15,061.14 × 6,439.50
  4. Step 4: Simplify right side
    10,914.35x = 96,986,211.03
  5. Step 5: Solve for x
    x = 96,986,211.03/10,914.35
  6. Step 6: Final answer
    x = 8,886.12

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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.