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Finding the Fourth Proportional to 8,102.47, 11,177.13 and 5,580.21

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Solution

The fourth proportional to 8,102.47, 11,177.13 and 5,580.21 is: 7,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.47 : 11,177.13 = 5,580.21 : x
  2. Step 2: Convert to fraction form
    8,102.47/11,177.13 = 5,580.21/x
  3. Step 3: Cross multiply
    8,102.47x = 11,177.13 × 5,580.21
  4. Step 4: Simplify right side
    8,102.47x = 62,370,690.66
  5. Step 5: Solve for x
    x = 62,370,690.66/8,102.47
  6. Step 6: Final answer
    x = 7,697.74

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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.