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Finding the Fourth Proportional to 7,641.38, 11,458.29 and 2,710.28

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Solution

The fourth proportional to 7,641.38, 11,458.29 and 2,710.28 is: 4,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.38 : 11,458.29 = 2,710.28 : x
  2. Step 2: Convert to fraction form
    7,641.38/11,458.29 = 2,710.28/x
  3. Step 3: Cross multiply
    7,641.38x = 11,458.29 × 2,710.28
  4. Step 4: Simplify right side
    7,641.38x = 31,055,132.02
  5. Step 5: Solve for x
    x = 31,055,132.02/7,641.38
  6. Step 6: Final answer
    x = 4,064.08

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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.