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Finding the Fourth Proportional to 10,985, 15,159.22 and 5,949.10

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Solution

The fourth proportional to 10,985, 15,159.22 and 5,949.10 is: 8,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985 : 15,159.22 = 5,949.10 : x
  2. Step 2: Convert to fraction form
    10,985/15,159.22 = 5,949.10/x
  3. Step 3: Cross multiply
    10,985x = 15,159.22 × 5,949.10
  4. Step 4: Simplify right side
    10,985x = 90,183,715.70
  5. Step 5: Solve for x
    x = 90,183,715.70/10,985
  6. Step 6: Final answer
    x = 8,209.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.