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Finding the Fourth Proportional to 10,343.59, 15,519.14 and 5,078.04

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Solution

The fourth proportional to 10,343.59, 15,519.14 and 5,078.04 is: 7,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.59 : 15,519.14 = 5,078.04 : x
  2. Step 2: Convert to fraction form
    10,343.59/15,519.14 = 5,078.04/x
  3. Step 3: Cross multiply
    10,343.59x = 15,519.14 × 5,078.04
  4. Step 4: Simplify right side
    10,343.59x = 78,806,749.14
  5. Step 5: Solve for x
    x = 78,806,749.14/10,343.59
  6. Step 6: Final answer
    x = 7,618.90

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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.