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Finding the Fourth Proportional to 10,400.80, 15,601.20 and 5,204.80

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Solution

The fourth proportional to 10,400.80, 15,601.20 and 5,204.80 is: 7,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.80 : 15,601.20 = 5,204.80 : x
  2. Step 2: Convert to fraction form
    10,400.80/15,601.20 = 5,204.80/x
  3. Step 3: Cross multiply
    10,400.80x = 15,601.20 × 5,204.80
  4. Step 4: Simplify right side
    10,400.80x = 81,201,125.76
  5. Step 5: Solve for x
    x = 81,201,125.76/10,400.80
  6. Step 6: Final answer
    x = 7,807.20

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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.