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Finding the Fourth Proportional to 7,524, 10,382.97 and 4,166.78

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Solution

The fourth proportional to 7,524, 10,382.97 and 4,166.78 is: 5,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 10,382.97 = 4,166.78 : x
  2. Step 2: Convert to fraction form
    7,524/10,382.97 = 4,166.78/x
  3. Step 3: Cross multiply
    7,524x = 10,382.97 × 4,166.78
  4. Step 4: Simplify right side
    7,524x = 43,263,551.74
  5. Step 5: Solve for x
    x = 43,263,551.74/7,524
  6. Step 6: Final answer
    x = 5,750.07

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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.