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Finding the Fourth Proportional to 8,240.57, 11,371.73 and 4,655.68

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Solution

The fourth proportional to 8,240.57, 11,371.73 and 4,655.68 is: 6,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.57 : 11,371.73 = 4,655.68 : x
  2. Step 2: Convert to fraction form
    8,240.57/11,371.73 = 4,655.68/x
  3. Step 3: Cross multiply
    8,240.57x = 11,371.73 × 4,655.68
  4. Step 4: Simplify right side
    8,240.57x = 52,943,084.22
  5. Step 5: Solve for x
    x = 52,943,084.22/8,240.57
  6. Step 6: Final answer
    x = 6,424.69

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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.