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Finding the Fourth Proportional to 27,532.46, 41,298.52 and 7,811.02

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Solution

The fourth proportional to 27,532.46, 41,298.52 and 7,811.02 is: 11,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.46 : 41,298.52 = 7,811.02 : x
  2. Step 2: Convert to fraction form
    27,532.46/41,298.52 = 7,811.02/x
  3. Step 3: Cross multiply
    27,532.46x = 41,298.52 × 7,811.02
  4. Step 4: Simplify right side
    27,532.46x = 322,583,565.69
  5. Step 5: Solve for x
    x = 322,583,565.69/27,532.46
  6. Step 6: Final answer
    x = 11,716.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.