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Finding the Fourth Proportional to 10,046.31, 13,863.75 and 5,569.95

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Solution

The fourth proportional to 10,046.31, 13,863.75 and 5,569.95 is: 7,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.31 : 13,863.75 = 5,569.95 : x
  2. Step 2: Convert to fraction form
    10,046.31/13,863.75 = 5,569.95/x
  3. Step 3: Cross multiply
    10,046.31x = 13,863.75 × 5,569.95
  4. Step 4: Simplify right side
    10,046.31x = 77,220,394.31
  5. Step 5: Solve for x
    x = 77,220,394.31/10,046.31
  6. Step 6: Final answer
    x = 7,686.44

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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.