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Finding the Fourth Proportional to 10,285.43, 14,193.93 and 5,569.71

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Solution

The fourth proportional to 10,285.43, 14,193.93 and 5,569.71 is: 7,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.43 : 14,193.93 = 5,569.71 : x
  2. Step 2: Convert to fraction form
    10,285.43/14,193.93 = 5,569.71/x
  3. Step 3: Cross multiply
    10,285.43x = 14,193.93 × 5,569.71
  4. Step 4: Simplify right side
    10,285.43x = 79,056,073.86
  5. Step 5: Solve for x
    x = 79,056,073.86/10,285.43
  6. Step 6: Final answer
    x = 7,686.22

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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.