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Finding the Fourth Proportional to 7,578.97, 10,456.08 and 4,745.17

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Solution

The fourth proportional to 7,578.97, 10,456.08 and 4,745.17 is: 6,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,578.97 : 10,456.08 = 4,745.17 : x
  2. Step 2: Convert to fraction form
    7,578.97/10,456.08 = 4,745.17/x
  3. Step 3: Cross multiply
    7,578.97x = 10,456.08 × 4,745.17
  4. Step 4: Simplify right side
    7,578.97x = 49,615,877.13
  5. Step 5: Solve for x
    x = 49,615,877.13/7,578.97
  6. Step 6: Final answer
    x = 6,546.52

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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.