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Finding the Fourth Proportional to 7,502.13, 10,352.58 and 4,144.97

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Solution

The fourth proportional to 7,502.13, 10,352.58 and 4,144.97 is: 5,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.13 : 10,352.58 = 4,144.97 : x
  2. Step 2: Convert to fraction form
    7,502.13/10,352.58 = 4,144.97/x
  3. Step 3: Cross multiply
    7,502.13x = 10,352.58 × 4,144.97
  4. Step 4: Simplify right side
    7,502.13x = 42,911,133.52
  5. Step 5: Solve for x
    x = 42,911,133.52/7,502.13
  6. Step 6: Final answer
    x = 5,719.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.