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Finding the Fourth Proportional to 10,937.40, 16,414.20 and 4,368.30

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Solution

The fourth proportional to 10,937.40, 16,414.20 and 4,368.30 is: 6,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.40 : 16,414.20 = 4,368.30 : x
  2. Step 2: Convert to fraction form
    10,937.40/16,414.20 = 4,368.30/x
  3. Step 3: Cross multiply
    10,937.40x = 16,414.20 × 4,368.30
  4. Step 4: Simplify right side
    10,937.40x = 71,702,149.86
  5. Step 5: Solve for x
    x = 71,702,149.86/10,937.40
  6. Step 6: Final answer
    x = 6,555.69

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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.