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Finding the Fourth Proportional to 10,045.57, 13,863 and 5,569.41

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Solution

The fourth proportional to 10,045.57, 13,863 and 5,569.41 is: 7,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.57 : 13,863 = 5,569.41 : x
  2. Step 2: Convert to fraction form
    10,045.57/13,863 = 5,569.41/x
  3. Step 3: Cross multiply
    10,045.57x = 13,863 × 5,569.41
  4. Step 4: Simplify right side
    10,045.57x = 77,208,730.83
  5. Step 5: Solve for x
    x = 77,208,730.83/10,045.57
  6. Step 6: Final answer
    x = 7,685.85

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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.