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Finding the Fourth Proportional to 10,248.82, 14,143.43 and 5,772.65

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Solution

The fourth proportional to 10,248.82, 14,143.43 and 5,772.65 is: 7,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.82 : 14,143.43 = 5,772.65 : x
  2. Step 2: Convert to fraction form
    10,248.82/14,143.43 = 5,772.65/x
  3. Step 3: Cross multiply
    10,248.82x = 14,143.43 × 5,772.65
  4. Step 4: Simplify right side
    10,248.82x = 81,645,071.19
  5. Step 5: Solve for x
    x = 81,645,071.19/10,248.82
  6. Step 6: Final answer
    x = 7,966.29

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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.