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Finding the Fourth Proportional to 7,966.90, 11,948.75 and 7,571.72

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Solution

The fourth proportional to 7,966.90, 11,948.75 and 7,571.72 is: 11,356.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.90 : 11,948.75 = 7,571.72 : x
  2. Step 2: Convert to fraction form
    7,966.90/11,948.75 = 7,571.72/x
  3. Step 3: Cross multiply
    7,966.90x = 11,948.75 × 7,571.72
  4. Step 4: Simplify right side
    7,966.90x = 90,472,589.35
  5. Step 5: Solve for x
    x = 90,472,589.35/7,966.90
  6. Step 6: Final answer
    x = 11,356.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.