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Finding the Fourth Proportional to 10,488.32, 15,727.86 and 5,556.81

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Solution

The fourth proportional to 10,488.32, 15,727.86 and 5,556.81 is: 8,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.32 : 15,727.86 = 5,556.81 : x
  2. Step 2: Convert to fraction form
    10,488.32/15,727.86 = 5,556.81/x
  3. Step 3: Cross multiply
    10,488.32x = 15,727.86 × 5,556.81
  4. Step 4: Simplify right side
    10,488.32x = 87,396,729.73
  5. Step 5: Solve for x
    x = 87,396,729.73/10,488.32
  6. Step 6: Final answer
    x = 8,332.77

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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.