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Finding the Fourth Proportional to 8,399.74, 11,587.76 and 5,416.53

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Solution

The fourth proportional to 8,399.74, 11,587.76 and 5,416.53 is: 7,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.74 : 11,587.76 = 5,416.53 : x
  2. Step 2: Convert to fraction form
    8,399.74/11,587.76 = 5,416.53/x
  3. Step 3: Cross multiply
    8,399.74x = 11,587.76 × 5,416.53
  4. Step 4: Simplify right side
    8,399.74x = 62,765,422.59
  5. Step 5: Solve for x
    x = 62,765,422.59/8,399.74
  6. Step 6: Final answer
    x = 7,472.31

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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.