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Finding the Fourth Proportional to 10,557.97, 14,569.39 and 5,841.97

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Solution

The fourth proportional to 10,557.97, 14,569.39 and 5,841.97 is: 8,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.97 : 14,569.39 = 5,841.97 : x
  2. Step 2: Convert to fraction form
    10,557.97/14,569.39 = 5,841.97/x
  3. Step 3: Cross multiply
    10,557.97x = 14,569.39 × 5,841.97
  4. Step 4: Simplify right side
    10,557.97x = 85,113,939.30
  5. Step 5: Solve for x
    x = 85,113,939.30/10,557.97
  6. Step 6: Final answer
    x = 8,061.58

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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.