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Finding the Fourth Proportional to 8,605.89, 12,876.21 and 5,097.78

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Solution

The fourth proportional to 8,605.89, 12,876.21 and 5,097.78 is: 7,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.89 : 12,876.21 = 5,097.78 : x
  2. Step 2: Convert to fraction form
    8,605.89/12,876.21 = 5,097.78/x
  3. Step 3: Cross multiply
    8,605.89x = 12,876.21 × 5,097.78
  4. Step 4: Simplify right side
    8,605.89x = 65,640,085.81
  5. Step 5: Solve for x
    x = 65,640,085.81/8,605.89
  6. Step 6: Final answer
    x = 7,627.34

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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.