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Finding the Fourth Proportional to 8,357.12, 12,531.36 and 3,159.44

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Solution

The fourth proportional to 8,357.12, 12,531.36 and 3,159.44 is: 4,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.12 : 12,531.36 = 3,159.44 : x
  2. Step 2: Convert to fraction form
    8,357.12/12,531.36 = 3,159.44/x
  3. Step 3: Cross multiply
    8,357.12x = 12,531.36 × 3,159.44
  4. Step 4: Simplify right side
    8,357.12x = 39,592,080.04
  5. Step 5: Solve for x
    x = 39,592,080.04/8,357.12
  6. Step 6: Final answer
    x = 4,737.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.