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Finding the Fourth Proportional to 10,418.64, 15,631.92 and 6,727.92

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Solution

The fourth proportional to 10,418.64, 15,631.92 and 6,727.92 is: 10,094.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.64 : 15,631.92 = 6,727.92 : x
  2. Step 2: Convert to fraction form
    10,418.64/15,631.92 = 6,727.92/x
  3. Step 3: Cross multiply
    10,418.64x = 15,631.92 × 6,727.92
  4. Step 4: Simplify right side
    10,418.64x = 105,170,307.21
  5. Step 5: Solve for x
    x = 105,170,307.21/10,418.64
  6. Step 6: Final answer
    x = 10,094.44

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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.