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Finding the Fourth Proportional to 7,546.94, 10,411.92 and 5,562.24

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Solution

The fourth proportional to 7,546.94, 10,411.92 and 5,562.24 is: 7,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.94 : 10,411.92 = 5,562.24 : x
  2. Step 2: Convert to fraction form
    7,546.94/10,411.92 = 5,562.24/x
  3. Step 3: Cross multiply
    7,546.94x = 10,411.92 × 5,562.24
  4. Step 4: Simplify right side
    7,546.94x = 57,913,597.90
  5. Step 5: Solve for x
    x = 57,913,597.90/7,546.94
  6. Step 6: Final answer
    x = 7,673.79

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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.