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Finding the Fourth Proportional to 8,580.33, 12,869.55 and 5,824.71

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Solution

The fourth proportional to 8,580.33, 12,869.55 and 5,824.71 is: 8,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.33 : 12,869.55 = 5,824.71 : x
  2. Step 2: Convert to fraction form
    8,580.33/12,869.55 = 5,824.71/x
  3. Step 3: Cross multiply
    8,580.33x = 12,869.55 × 5,824.71
  4. Step 4: Simplify right side
    8,580.33x = 74,961,396.58
  5. Step 5: Solve for x
    x = 74,961,396.58/8,580.33
  6. Step 6: Final answer
    x = 8,736.42

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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.