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Finding the Fourth Proportional to 10,344.34, 15,516.51 and 2,948.68

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Solution

The fourth proportional to 10,344.34, 15,516.51 and 2,948.68 is: 4,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.34 : 15,516.51 = 2,948.68 : x
  2. Step 2: Convert to fraction form
    10,344.34/15,516.51 = 2,948.68/x
  3. Step 3: Cross multiply
    10,344.34x = 15,516.51 × 2,948.68
  4. Step 4: Simplify right side
    10,344.34x = 45,753,222.71
  5. Step 5: Solve for x
    x = 45,753,222.71/10,344.34
  6. Step 6: Final answer
    x = 4,423.02

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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.