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Finding the Fourth Proportional to 7,456.64, 10,275 and 5,767.79

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Solution

The fourth proportional to 7,456.64, 10,275 and 5,767.79 is: 7,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.64 : 10,275 = 5,767.79 : x
  2. Step 2: Convert to fraction form
    7,456.64/10,275 = 5,767.79/x
  3. Step 3: Cross multiply
    7,456.64x = 10,275 × 5,767.79
  4. Step 4: Simplify right side
    7,456.64x = 59,264,042.25
  5. Step 5: Solve for x
    x = 59,264,042.25/7,456.64
  6. Step 6: Final answer
    x = 7,947.82

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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.