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Finding the Fourth Proportional to 10,137.59, 15,209.16 and 4,877

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Solution

The fourth proportional to 10,137.59, 15,209.16 and 4,877 is: 7,316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.59 : 15,209.16 = 4,877 : x
  2. Step 2: Convert to fraction form
    10,137.59/15,209.16 = 4,877/x
  3. Step 3: Cross multiply
    10,137.59x = 15,209.16 × 4,877
  4. Step 4: Simplify right side
    10,137.59x = 74,175,073.32
  5. Step 5: Solve for x
    x = 74,175,073.32/10,137.59
  6. Step 6: Final answer
    x = 7,316.83

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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.