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Finding the Fourth Proportional to 8,441.75, 12,630.49 and 5,097.69

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Solution

The fourth proportional to 8,441.75, 12,630.49 and 5,097.69 is: 7,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.75 : 12,630.49 = 5,097.69 : x
  2. Step 2: Convert to fraction form
    8,441.75/12,630.49 = 5,097.69/x
  3. Step 3: Cross multiply
    8,441.75x = 12,630.49 × 5,097.69
  4. Step 4: Simplify right side
    8,441.75x = 64,386,322.57
  5. Step 5: Solve for x
    x = 64,386,322.57/8,441.75
  6. Step 6: Final answer
    x = 7,627.13

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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.