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Finding the Fourth Proportional to 7,732.88, 10,674.14 and 4,589.06

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Solution

The fourth proportional to 7,732.88, 10,674.14 and 4,589.06 is: 6,334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.88 : 10,674.14 = 4,589.06 : x
  2. Step 2: Convert to fraction form
    7,732.88/10,674.14 = 4,589.06/x
  3. Step 3: Cross multiply
    7,732.88x = 10,674.14 × 4,589.06
  4. Step 4: Simplify right side
    7,732.88x = 48,984,272.65
  5. Step 5: Solve for x
    x = 48,984,272.65/7,732.88
  6. Step 6: Final answer
    x = 6,334.55

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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.