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Finding the Fourth Proportional to 7,674.90, 11,508.57 and 2,480.10

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Solution

The fourth proportional to 7,674.90, 11,508.57 and 2,480.10 is: 3,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.90 : 11,508.57 = 2,480.10 : x
  2. Step 2: Convert to fraction form
    7,674.90/11,508.57 = 2,480.10/x
  3. Step 3: Cross multiply
    7,674.90x = 11,508.57 × 2,480.10
  4. Step 4: Simplify right side
    7,674.90x = 28,542,404.46
  5. Step 5: Solve for x
    x = 28,542,404.46/7,674.90
  6. Step 6: Final answer
    x = 3,718.93

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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.