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Finding the Fourth Proportional to 10,266.92, 15,372.59 and 5,326.17

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Solution

The fourth proportional to 10,266.92, 15,372.59 and 5,326.17 is: 7,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.92 : 15,372.59 = 5,326.17 : x
  2. Step 2: Convert to fraction form
    10,266.92/15,372.59 = 5,326.17/x
  3. Step 3: Cross multiply
    10,266.92x = 15,372.59 × 5,326.17
  4. Step 4: Simplify right side
    10,266.92x = 81,877,029.87
  5. Step 5: Solve for x
    x = 81,877,029.87/10,266.92
  6. Step 6: Final answer
    x = 7,974.84

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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.