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Finding the Fourth Proportional to 7,641.26, 11,458.10 and 2,710.16

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Solution

The fourth proportional to 7,641.26, 11,458.10 and 2,710.16 is: 4,063.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.26 : 11,458.10 = 2,710.16 : x
  2. Step 2: Convert to fraction form
    7,641.26/11,458.10 = 2,710.16/x
  3. Step 3: Cross multiply
    7,641.26x = 11,458.10 × 2,710.16
  4. Step 4: Simplify right side
    7,641.26x = 31,053,227.01
  5. Step 5: Solve for x
    x = 31,053,227.01/7,641.26
  6. Step 6: Final answer
    x = 4,063.89

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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.