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Finding the Fourth Proportional to 10,411.62, 15,599.88 and 5,139.60

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Solution

The fourth proportional to 10,411.62, 15,599.88 and 5,139.60 is: 7,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.62 : 15,599.88 = 5,139.60 : x
  2. Step 2: Convert to fraction form
    10,411.62/15,599.88 = 5,139.60/x
  3. Step 3: Cross multiply
    10,411.62x = 15,599.88 × 5,139.60
  4. Step 4: Simplify right side
    10,411.62x = 80,177,143.25
  5. Step 5: Solve for x
    x = 80,177,143.25/10,411.62
  6. Step 6: Final answer
    x = 7,700.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.