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Finding the Fourth Proportional to 8,714.49, 13,073.21 and 4,032.60

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Solution

The fourth proportional to 8,714.49, 13,073.21 and 4,032.60 is: 6,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.49 : 13,073.21 = 4,032.60 : x
  2. Step 2: Convert to fraction form
    8,714.49/13,073.21 = 4,032.60/x
  3. Step 3: Cross multiply
    8,714.49x = 13,073.21 × 4,032.60
  4. Step 4: Simplify right side
    8,714.49x = 52,719,026.65
  5. Step 5: Solve for x
    x = 52,719,026.65/8,714.49
  6. Step 6: Final answer
    x = 6,049.58

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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.