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Finding the Fourth Proportional to 10,906.60, 16,351.80 and 4,329.40

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Solution

The fourth proportional to 10,906.60, 16,351.80 and 4,329.40 is: 6,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.60 : 16,351.80 = 4,329.40 : x
  2. Step 2: Convert to fraction form
    10,906.60/16,351.80 = 4,329.40/x
  3. Step 3: Cross multiply
    10,906.60x = 16,351.80 × 4,329.40
  4. Step 4: Simplify right side
    10,906.60x = 70,793,482.92
  5. Step 5: Solve for x
    x = 70,793,482.92/10,906.60
  6. Step 6: Final answer
    x = 6,490.88

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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.