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Finding the Fourth Proportional to 10,620.80, 15,948.20 and 8,447.60

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Solution

The fourth proportional to 10,620.80, 15,948.20 and 8,447.60 is: 12,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.80 : 15,948.20 = 8,447.60 : x
  2. Step 2: Convert to fraction form
    10,620.80/15,948.20 = 8,447.60/x
  3. Step 3: Cross multiply
    10,620.80x = 15,948.20 × 8,447.60
  4. Step 4: Simplify right side
    10,620.80x = 134,724,014.32
  5. Step 5: Solve for x
    x = 134,724,014.32/10,620.80
  6. Step 6: Final answer
    x = 12,684.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.