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Finding the Fourth Proportional to 10,937.85, 16,407 and 3,918.32

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Solution

The fourth proportional to 10,937.85, 16,407 and 3,918.32 is: 5,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.85 : 16,407 = 3,918.32 : x
  2. Step 2: Convert to fraction form
    10,937.85/16,407 = 3,918.32/x
  3. Step 3: Cross multiply
    10,937.85x = 16,407 × 3,918.32
  4. Step 4: Simplify right side
    10,937.85x = 64,287,794.21
  5. Step 5: Solve for x
    x = 64,287,794.21/10,937.85
  6. Step 6: Final answer
    x = 5,877.56

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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.