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Finding the Fourth Proportional to 10,344.68, 15,516.30 and 5,948.36

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Solution

The fourth proportional to 10,344.68, 15,516.30 and 5,948.36 is: 8,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.68 : 15,516.30 = 5,948.36 : x
  2. Step 2: Convert to fraction form
    10,344.68/15,516.30 = 5,948.36/x
  3. Step 3: Cross multiply
    10,344.68x = 15,516.30 × 5,948.36
  4. Step 4: Simplify right side
    10,344.68x = 92,296,538.27
  5. Step 5: Solve for x
    x = 92,296,538.27/10,344.68
  6. Step 6: Final answer
    x = 8,922.13

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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.