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Finding the Fourth Proportional to 7,502.12, 10,352.86 and 4,145.15

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Solution

The fourth proportional to 7,502.12, 10,352.86 and 4,145.15 is: 5,720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.12 : 10,352.86 = 4,145.15 : x
  2. Step 2: Convert to fraction form
    7,502.12/10,352.86 = 4,145.15/x
  3. Step 3: Cross multiply
    7,502.12x = 10,352.86 × 4,145.15
  4. Step 4: Simplify right side
    7,502.12x = 42,914,167.35
  5. Step 5: Solve for x
    x = 42,914,167.35/7,502.12
  6. Step 6: Final answer
    x = 5,720.27

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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.