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Finding the Fourth Proportional to 8,255.64, 11,398.14 and 5,462.76

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Solution

The fourth proportional to 8,255.64, 11,398.14 and 5,462.76 is: 7,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.64 : 11,398.14 = 5,462.76 : x
  2. Step 2: Convert to fraction form
    8,255.64/11,398.14 = 5,462.76/x
  3. Step 3: Cross multiply
    8,255.64x = 11,398.14 × 5,462.76
  4. Step 4: Simplify right side
    8,255.64x = 62,265,303.27
  5. Step 5: Solve for x
    x = 62,265,303.27/8,255.64
  6. Step 6: Final answer
    x = 7,542.15

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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.