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Finding the Fourth Proportional to 10,545.82, 14,553.53 and 5,830.41

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Solution

The fourth proportional to 10,545.82, 14,553.53 and 5,830.41 is: 8,046.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.82 : 14,553.53 = 5,830.41 : x
  2. Step 2: Convert to fraction form
    10,545.82/14,553.53 = 5,830.41/x
  3. Step 3: Cross multiply
    10,545.82x = 14,553.53 × 5,830.41
  4. Step 4: Simplify right side
    10,545.82x = 84,853,046.85
  5. Step 5: Solve for x
    x = 84,853,046.85/10,545.82
  6. Step 6: Final answer
    x = 8,046.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.