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Finding the Fourth Proportional to 7,641.57, 11,458.57 and 2,710.47

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Solution

The fourth proportional to 7,641.57, 11,458.57 and 2,710.47 is: 4,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.57 : 11,458.57 = 2,710.47 : x
  2. Step 2: Convert to fraction form
    7,641.57/11,458.57 = 2,710.47/x
  3. Step 3: Cross multiply
    7,641.57x = 11,458.57 × 2,710.47
  4. Step 4: Simplify right side
    7,641.57x = 31,058,046.16
  5. Step 5: Solve for x
    x = 31,058,046.16/7,641.57
  6. Step 6: Final answer
    x = 4,064.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.