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Finding the Fourth Proportional to 10,211.77, 15,326.03 and 5,282.92

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Solution

The fourth proportional to 10,211.77, 15,326.03 and 5,282.92 is: 7,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211.77 : 15,326.03 = 5,282.92 : x
  2. Step 2: Convert to fraction form
    10,211.77/15,326.03 = 5,282.92/x
  3. Step 3: Cross multiply
    10,211.77x = 15,326.03 × 5,282.92
  4. Step 4: Simplify right side
    10,211.77x = 80,966,190.41
  5. Step 5: Solve for x
    x = 80,966,190.41/10,211.77
  6. Step 6: Final answer
    x = 7,928.71

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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.