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Finding the Fourth Proportional to 10,098.93, 15,139.05 and 5,157.68

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Solution

The fourth proportional to 10,098.93, 15,139.05 and 5,157.68 is: 7,731.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.93 : 15,139.05 = 5,157.68 : x
  2. Step 2: Convert to fraction form
    10,098.93/15,139.05 = 5,157.68/x
  3. Step 3: Cross multiply
    10,098.93x = 15,139.05 × 5,157.68
  4. Step 4: Simplify right side
    10,098.93x = 78,082,309.38
  5. Step 5: Solve for x
    x = 78,082,309.38/10,098.93
  6. Step 6: Final answer
    x = 7,731.74

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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.