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Finding the Fourth Proportional to 10,578.43, 14,598.53 and 5,862.71

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Solution

The fourth proportional to 10,578.43, 14,598.53 and 5,862.71 is: 8,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.43 : 14,598.53 = 5,862.71 : x
  2. Step 2: Convert to fraction form
    10,578.43/14,598.53 = 5,862.71/x
  3. Step 3: Cross multiply
    10,578.43x = 14,598.53 × 5,862.71
  4. Step 4: Simplify right side
    10,578.43x = 85,586,976.98
  5. Step 5: Solve for x
    x = 85,586,976.98/10,578.43
  6. Step 6: Final answer
    x = 8,090.71

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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.