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Finding the Fourth Proportional to 10,438.77, 15,658.13 and 3,513.27

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Solution

The fourth proportional to 10,438.77, 15,658.13 and 3,513.27 is: 5,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.77 : 15,658.13 = 3,513.27 : x
  2. Step 2: Convert to fraction form
    10,438.77/15,658.13 = 3,513.27/x
  3. Step 3: Cross multiply
    10,438.77x = 15,658.13 × 3,513.27
  4. Step 4: Simplify right side
    10,438.77x = 55,011,238.39
  5. Step 5: Solve for x
    x = 55,011,238.39/10,438.77
  6. Step 6: Final answer
    x = 5,269.90

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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.