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Finding the Fourth Proportional to 10,437.70, 15,658.17 and 3,511.66

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Solution

The fourth proportional to 10,437.70, 15,658.17 and 3,511.66 is: 5,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.70 : 15,658.17 = 3,511.66 : x
  2. Step 2: Convert to fraction form
    10,437.70/15,658.17 = 3,511.66/x
  3. Step 3: Cross multiply
    10,437.70x = 15,658.17 × 3,511.66
  4. Step 4: Simplify right side
    10,437.70x = 54,986,169.26
  5. Step 5: Solve for x
    x = 54,986,169.26/10,437.70
  6. Step 6: Final answer
    x = 5,268.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.