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Finding the Fourth Proportional to 7,161.60, 10,714.80 and 4,387.68

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Solution

The fourth proportional to 7,161.60, 10,714.80 and 4,387.68 is: 6,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.60 : 10,714.80 = 4,387.68 : x
  2. Step 2: Convert to fraction form
    7,161.60/10,714.80 = 4,387.68/x
  3. Step 3: Cross multiply
    7,161.60x = 10,714.80 × 4,387.68
  4. Step 4: Simplify right side
    7,161.60x = 47,013,113.66
  5. Step 5: Solve for x
    x = 47,013,113.66/7,161.60
  6. Step 6: Final answer
    x = 6,564.61

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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.