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Finding the Fourth Proportional to 7,641.46, 11,510.24 and 6,952.56

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Solution

The fourth proportional to 7,641.46, 11,510.24 and 6,952.56 is: 10,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.46 : 11,510.24 = 6,952.56 : x
  2. Step 2: Convert to fraction form
    7,641.46/11,510.24 = 6,952.56/x
  3. Step 3: Cross multiply
    7,641.46x = 11,510.24 × 6,952.56
  4. Step 4: Simplify right side
    7,641.46x = 80,025,634.21
  5. Step 5: Solve for x
    x = 80,025,634.21/7,641.46
  6. Step 6: Final answer
    x = 10,472.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.