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Finding the Fourth Proportional to 11,658.11, 17,491.49 and 5,421.47

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Solution

The fourth proportional to 11,658.11, 17,491.49 and 5,421.47 is: 8,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.11 : 17,491.49 = 5,421.47 : x
  2. Step 2: Convert to fraction form
    11,658.11/17,491.49 = 5,421.47/x
  3. Step 3: Cross multiply
    11,658.11x = 17,491.49 × 5,421.47
  4. Step 4: Simplify right side
    11,658.11x = 94,829,561.18
  5. Step 5: Solve for x
    x = 94,829,561.18/11,658.11
  6. Step 6: Final answer
    x = 8,134.21

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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.