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Finding the Fourth Proportional to 10,765.53, 16,114.46 and 7,414.11

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Solution

The fourth proportional to 10,765.53, 16,114.46 and 7,414.11 is: 11,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.53 : 16,114.46 = 7,414.11 : x
  2. Step 2: Convert to fraction form
    10,765.53/16,114.46 = 7,414.11/x
  3. Step 3: Cross multiply
    10,765.53x = 16,114.46 × 7,414.11
  4. Step 4: Simplify right side
    10,765.53x = 119,474,341.96
  5. Step 5: Solve for x
    x = 119,474,341.96/10,765.53
  6. Step 6: Final answer
    x = 11,097.86

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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.