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Finding the Fourth Proportional to 7,499.42, 10,349.10 and 4,142.38

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Solution

The fourth proportional to 7,499.42, 10,349.10 and 4,142.38 is: 5,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.42 : 10,349.10 = 4,142.38 : x
  2. Step 2: Convert to fraction form
    7,499.42/10,349.10 = 4,142.38/x
  3. Step 3: Cross multiply
    7,499.42x = 10,349.10 × 4,142.38
  4. Step 4: Simplify right side
    7,499.42x = 42,869,904.86
  5. Step 5: Solve for x
    x = 42,869,904.86/7,499.42
  6. Step 6: Final answer
    x = 5,716.43

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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.