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Finding the Fourth Proportional to 7,499.39, 10,349.24 and 4,142.34

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Solution

The fourth proportional to 7,499.39, 10,349.24 and 4,142.34 is: 5,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.39 : 10,349.24 = 4,142.34 : x
  2. Step 2: Convert to fraction form
    7,499.39/10,349.24 = 4,142.34/x
  3. Step 3: Cross multiply
    7,499.39x = 10,349.24 × 4,142.34
  4. Step 4: Simplify right side
    7,499.39x = 42,870,050.11
  5. Step 5: Solve for x
    x = 42,870,050.11/7,499.39
  6. Step 6: Final answer
    x = 5,716.48

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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.