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Finding the Fourth Proportional to 10,609.60, 15,903.60 and 6,224.80

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Solution

The fourth proportional to 10,609.60, 15,903.60 and 6,224.80 is: 9,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.60 : 15,903.60 = 6,224.80 : x
  2. Step 2: Convert to fraction form
    10,609.60/15,903.60 = 6,224.80/x
  3. Step 3: Cross multiply
    10,609.60x = 15,903.60 × 6,224.80
  4. Step 4: Simplify right side
    10,609.60x = 98,996,729.28
  5. Step 5: Solve for x
    x = 98,996,729.28/10,609.60
  6. Step 6: Final answer
    x = 9,330.86

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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.