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Finding the Fourth Proportional to 10,843.20, 16,289.10 and 10,400.40

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Solution

The fourth proportional to 10,843.20, 16,289.10 and 10,400.40 is: 15,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.20 : 16,289.10 = 10,400.40 : x
  2. Step 2: Convert to fraction form
    10,843.20/16,289.10 = 10,400.40/x
  3. Step 3: Cross multiply
    10,843.20x = 16,289.10 × 10,400.40
  4. Step 4: Simplify right side
    10,843.20x = 169,413,155.64
  5. Step 5: Solve for x
    x = 169,413,155.64/10,843.20
  6. Step 6: Final answer
    x = 15,623.91

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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.