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Finding the Fourth Proportional to 8,171.17, 11,275.88 and 4,634.31

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Solution

The fourth proportional to 8,171.17, 11,275.88 and 4,634.31 is: 6,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.17 : 11,275.88 = 4,634.31 : x
  2. Step 2: Convert to fraction form
    8,171.17/11,275.88 = 4,634.31/x
  3. Step 3: Cross multiply
    8,171.17x = 11,275.88 × 4,634.31
  4. Step 4: Simplify right side
    8,171.17x = 52,255,878.65
  5. Step 5: Solve for x
    x = 52,255,878.65/8,171.17
  6. Step 6: Final answer
    x = 6,395.15

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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.