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Finding the Fourth Proportional to 6,714.64, 10,073.52 and 2,332.16

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Solution

The fourth proportional to 6,714.64, 10,073.52 and 2,332.16 is: 3,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.64 : 10,073.52 = 2,332.16 : x
  2. Step 2: Convert to fraction form
    6,714.64/10,073.52 = 2,332.16/x
  3. Step 3: Cross multiply
    6,714.64x = 10,073.52 × 2,332.16
  4. Step 4: Simplify right side
    6,714.64x = 23,493,060.40
  5. Step 5: Solve for x
    x = 23,493,060.40/6,714.64
  6. Step 6: Final answer
    x = 3,498.78

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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.