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Finding the Fourth Proportional to 7,502.09, 10,352.36 and 4,144.87

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Solution

The fourth proportional to 7,502.09, 10,352.36 and 4,144.87 is: 5,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.09 : 10,352.36 = 4,144.87 : x
  2. Step 2: Convert to fraction form
    7,502.09/10,352.36 = 4,144.87/x
  3. Step 3: Cross multiply
    7,502.09x = 10,352.36 × 4,144.87
  4. Step 4: Simplify right side
    7,502.09x = 42,909,186.38
  5. Step 5: Solve for x
    x = 42,909,186.38/7,502.09
  6. Step 6: Final answer
    x = 5,719.63

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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.