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Finding the Fourth Proportional to 7,446.43, 10,275.42 and 4,089.25

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Solution

The fourth proportional to 7,446.43, 10,275.42 and 4,089.25 is: 5,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.43 : 10,275.42 = 4,089.25 : x
  2. Step 2: Convert to fraction form
    7,446.43/10,275.42 = 4,089.25/x
  3. Step 3: Cross multiply
    7,446.43x = 10,275.42 × 4,089.25
  4. Step 4: Simplify right side
    7,446.43x = 42,018,761.24
  5. Step 5: Solve for x
    x = 42,018,761.24/7,446.43
  6. Step 6: Final answer
    x = 5,642.81

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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.