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Finding the Fourth Proportional to 10,363.20, 15,544.80 and 7,771.20

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Solution

The fourth proportional to 10,363.20, 15,544.80 and 7,771.20 is: 11,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.20 : 15,544.80 = 7,771.20 : x
  2. Step 2: Convert to fraction form
    10,363.20/15,544.80 = 7,771.20/x
  3. Step 3: Cross multiply
    10,363.20x = 15,544.80 × 7,771.20
  4. Step 4: Simplify right side
    10,363.20x = 120,801,749.76
  5. Step 5: Solve for x
    x = 120,801,749.76/10,363.20
  6. Step 6: Final answer
    x = 11,656.80

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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.