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Finding the Fourth Proportional to 10,913.70, 16,377.03 and 4,338.12

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Solution

The fourth proportional to 10,913.70, 16,377.03 and 4,338.12 is: 6,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.70 : 16,377.03 = 4,338.12 : x
  2. Step 2: Convert to fraction form
    10,913.70/16,377.03 = 4,338.12/x
  3. Step 3: Cross multiply
    10,913.70x = 16,377.03 × 4,338.12
  4. Step 4: Simplify right side
    10,913.70x = 71,045,521.38
  5. Step 5: Solve for x
    x = 71,045,521.38/10,913.70
  6. Step 6: Final answer
    x = 6,509.76

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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.