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Finding the Fourth Proportional to 8,580.24, 12,869.64 and 5,824.62

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Solution

The fourth proportional to 8,580.24, 12,869.64 and 5,824.62 is: 8,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.24 : 12,869.64 = 5,824.62 : x
  2. Step 2: Convert to fraction form
    8,580.24/12,869.64 = 5,824.62/x
  3. Step 3: Cross multiply
    8,580.24x = 12,869.64 × 5,824.62
  4. Step 4: Simplify right side
    8,580.24x = 74,960,762.54
  5. Step 5: Solve for x
    x = 74,960,762.54/8,580.24
  6. Step 6: Final answer
    x = 8,736.44

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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.