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Finding the Fourth Proportional to 10,878, 16,318.17 and 3,480.72

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Solution

The fourth proportional to 10,878, 16,318.17 and 3,480.72 is: 5,221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878 : 16,318.17 = 3,480.72 : x
  2. Step 2: Convert to fraction form
    10,878/16,318.17 = 3,480.72/x
  3. Step 3: Cross multiply
    10,878x = 16,318.17 × 3,480.72
  4. Step 4: Simplify right side
    10,878x = 56,798,980.68
  5. Step 5: Solve for x
    x = 56,798,980.68/10,878
  6. Step 6: Final answer
    x = 5,221.45

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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.