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Finding the Fourth Proportional to 10,209.08, 15,299 and 5,817.46

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Solution

The fourth proportional to 10,209.08, 15,299 and 5,817.46 is: 8,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.08 : 15,299 = 5,817.46 : x
  2. Step 2: Convert to fraction form
    10,209.08/15,299 = 5,817.46/x
  3. Step 3: Cross multiply
    10,209.08x = 15,299 × 5,817.46
  4. Step 4: Simplify right side
    10,209.08x = 89,001,320.54
  5. Step 5: Solve for x
    x = 89,001,320.54/10,209.08
  6. Step 6: Final answer
    x = 8,717.86

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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.