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Finding the Fourth Proportional to 7,723.44, 10,658.52 and 4,578.48

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Solution

The fourth proportional to 7,723.44, 10,658.52 and 4,578.48 is: 6,318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.44 : 10,658.52 = 4,578.48 : x
  2. Step 2: Convert to fraction form
    7,723.44/10,658.52 = 4,578.48/x
  3. Step 3: Cross multiply
    7,723.44x = 10,658.52 × 4,578.48
  4. Step 4: Simplify right side
    7,723.44x = 48,799,820.65
  5. Step 5: Solve for x
    x = 48,799,820.65/7,723.44
  6. Step 6: Final answer
    x = 6,318.40

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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.