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Finding the Fourth Proportional to 10,046.10, 13,863.62 and 5,569.91

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Solution

The fourth proportional to 10,046.10, 13,863.62 and 5,569.91 is: 7,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.10 : 13,863.62 = 5,569.91 : x
  2. Step 2: Convert to fraction form
    10,046.10/13,863.62 = 5,569.91/x
  3. Step 3: Cross multiply
    10,046.10x = 13,863.62 × 5,569.91
  4. Step 4: Simplify right side
    10,046.10x = 77,219,060.28
  5. Step 5: Solve for x
    x = 77,219,060.28/10,046.10
  6. Step 6: Final answer
    x = 7,686.47

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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.