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Finding the Fourth Proportional to 10,545.70, 14,553.04 and 5,829.99

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Solution

The fourth proportional to 10,545.70, 14,553.04 and 5,829.99 is: 8,045.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.70 : 14,553.04 = 5,829.99 : x
  2. Step 2: Convert to fraction form
    10,545.70/14,553.04 = 5,829.99/x
  3. Step 3: Cross multiply
    10,545.70x = 14,553.04 × 5,829.99
  4. Step 4: Simplify right side
    10,545.70x = 84,844,077.67
  5. Step 5: Solve for x
    x = 84,844,077.67/10,545.70
  6. Step 6: Final answer
    x = 8,045.37

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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.