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Finding the Fourth Proportional to 7,502.06, 10,352.86 and 4,144.80

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Solution

The fourth proportional to 7,502.06, 10,352.86 and 4,144.80 is: 5,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.06 : 10,352.86 = 4,144.80 : x
  2. Step 2: Convert to fraction form
    7,502.06/10,352.86 = 4,144.80/x
  3. Step 3: Cross multiply
    7,502.06x = 10,352.86 × 4,144.80
  4. Step 4: Simplify right side
    7,502.06x = 42,910,534.13
  5. Step 5: Solve for x
    x = 42,910,534.13/7,502.06
  6. Step 6: Final answer
    x = 5,719.83

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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.