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Finding the Fourth Proportional to 8,830.92, 12,192.53 and 5,478.44

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Solution

The fourth proportional to 8,830.92, 12,192.53 and 5,478.44 is: 7,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.92 : 12,192.53 = 5,478.44 : x
  2. Step 2: Convert to fraction form
    8,830.92/12,192.53 = 5,478.44/x
  3. Step 3: Cross multiply
    8,830.92x = 12,192.53 × 5,478.44
  4. Step 4: Simplify right side
    8,830.92x = 66,795,955.70
  5. Step 5: Solve for x
    x = 66,795,955.70/8,830.92
  6. Step 6: Final answer
    x = 7,563.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.