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Finding the Fourth Proportional to 7,459.38, 10,293.24 and 4,102.14

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Solution

The fourth proportional to 7,459.38, 10,293.24 and 4,102.14 is: 5,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.38 : 10,293.24 = 4,102.14 : x
  2. Step 2: Convert to fraction form
    7,459.38/10,293.24 = 4,102.14/x
  3. Step 3: Cross multiply
    7,459.38x = 10,293.24 × 4,102.14
  4. Step 4: Simplify right side
    7,459.38x = 42,224,311.53
  5. Step 5: Solve for x
    x = 42,224,311.53/7,459.38
  6. Step 6: Final answer
    x = 5,660.57

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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.