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Finding the Fourth Proportional to 10,546.62, 14,553.99 and 5,830.26

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Solution

The fourth proportional to 10,546.62, 14,553.99 and 5,830.26 is: 8,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.62 : 14,553.99 = 5,830.26 : x
  2. Step 2: Convert to fraction form
    10,546.62/14,553.99 = 5,830.26/x
  3. Step 3: Cross multiply
    10,546.62x = 14,553.99 × 5,830.26
  4. Step 4: Simplify right side
    10,546.62x = 84,853,545.74
  5. Step 5: Solve for x
    x = 84,853,545.74/10,546.62
  6. Step 6: Final answer
    x = 8,045.57

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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.