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Finding the Fourth Proportional to 10,819.68, 16,218 and 7,732.32

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Solution

The fourth proportional to 10,819.68, 16,218 and 7,732.32 is: 11,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.68 : 16,218 = 7,732.32 : x
  2. Step 2: Convert to fraction form
    10,819.68/16,218 = 7,732.32/x
  3. Step 3: Cross multiply
    10,819.68x = 16,218 × 7,732.32
  4. Step 4: Simplify right side
    10,819.68x = 125,402,765.76
  5. Step 5: Solve for x
    x = 125,402,765.76/10,819.68
  6. Step 6: Final answer
    x = 11,590.25

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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.