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Finding the Fourth Proportional to 11,098.73, 16,639.89 and 5,248.50

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Solution

The fourth proportional to 11,098.73, 16,639.89 and 5,248.50 is: 7,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.73 : 16,639.89 = 5,248.50 : x
  2. Step 2: Convert to fraction form
    11,098.73/16,639.89 = 5,248.50/x
  3. Step 3: Cross multiply
    11,098.73x = 16,639.89 × 5,248.50
  4. Step 4: Simplify right side
    11,098.73x = 87,334,462.67
  5. Step 5: Solve for x
    x = 87,334,462.67/11,098.73
  6. Step 6: Final answer
    x = 7,868.87

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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.