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Finding the Fourth Proportional to 10,753.86, 16,127.85 and 3,258.24

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Solution

The fourth proportional to 10,753.86, 16,127.85 and 3,258.24 is: 4,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.86 : 16,127.85 = 3,258.24 : x
  2. Step 2: Convert to fraction form
    10,753.86/16,127.85 = 3,258.24/x
  3. Step 3: Cross multiply
    10,753.86x = 16,127.85 × 3,258.24
  4. Step 4: Simplify right side
    10,753.86x = 52,548,405.98
  5. Step 5: Solve for x
    x = 52,548,405.98/10,753.86
  6. Step 6: Final answer
    x = 4,886.47

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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.