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Finding the Fourth Proportional to 10,311.60, 14,227.65 and 5,834.38

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Solution

The fourth proportional to 10,311.60, 14,227.65 and 5,834.38 is: 8,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.60 : 14,227.65 = 5,834.38 : x
  2. Step 2: Convert to fraction form
    10,311.60/14,227.65 = 5,834.38/x
  3. Step 3: Cross multiply
    10,311.60x = 14,227.65 × 5,834.38
  4. Step 4: Simplify right side
    10,311.60x = 83,009,507.71
  5. Step 5: Solve for x
    x = 83,009,507.71/10,311.60
  6. Step 6: Final answer
    x = 8,050.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.