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Finding the Fourth Proportional to 10,658.10, 15,988.26 and 3,638.82

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Solution

The fourth proportional to 10,658.10, 15,988.26 and 3,638.82 is: 5,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.10 : 15,988.26 = 3,638.82 : x
  2. Step 2: Convert to fraction form
    10,658.10/15,988.26 = 3,638.82/x
  3. Step 3: Cross multiply
    10,658.10x = 15,988.26 × 3,638.82
  4. Step 4: Simplify right side
    10,658.10x = 58,178,400.25
  5. Step 5: Solve for x
    x = 58,178,400.25/10,658.10
  6. Step 6: Final answer
    x = 5,458.61

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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.