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Finding the Fourth Proportional to 10,677.64, 16,015.68 and 3,281.48

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Solution

The fourth proportional to 10,677.64, 16,015.68 and 3,281.48 is: 4,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.64 : 16,015.68 = 3,281.48 : x
  2. Step 2: Convert to fraction form
    10,677.64/16,015.68 = 3,281.48/x
  3. Step 3: Cross multiply
    10,677.64x = 16,015.68 × 3,281.48
  4. Step 4: Simplify right side
    10,677.64x = 52,555,133.61
  5. Step 5: Solve for x
    x = 52,555,133.61/10,677.64
  6. Step 6: Final answer
    x = 4,921.98

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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.