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Finding the Fourth Proportional to 10,545.64, 14,552.22 and 5,830

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Solution

The fourth proportional to 10,545.64, 14,552.22 and 5,830 is: 8,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.64 : 14,552.22 = 5,830 : x
  2. Step 2: Convert to fraction form
    10,545.64/14,552.22 = 5,830/x
  3. Step 3: Cross multiply
    10,545.64x = 14,552.22 × 5,830
  4. Step 4: Simplify right side
    10,545.64x = 84,839,442.60
  5. Step 5: Solve for x
    x = 84,839,442.60/10,545.64
  6. Step 6: Final answer
    x = 8,044.98

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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.