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Finding the Fourth Proportional to 10,748.70, 16,123.05 and 6,363.90

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Solution

The fourth proportional to 10,748.70, 16,123.05 and 6,363.90 is: 9,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.70 : 16,123.05 = 6,363.90 : x
  2. Step 2: Convert to fraction form
    10,748.70/16,123.05 = 6,363.90/x
  3. Step 3: Cross multiply
    10,748.70x = 16,123.05 × 6,363.90
  4. Step 4: Simplify right side
    10,748.70x = 102,605,477.90
  5. Step 5: Solve for x
    x = 102,605,477.90/10,748.70
  6. Step 6: Final answer
    x = 9,545.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.