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Finding the Fourth Proportional to 10,966.87, 15,136.23 and 6,493.11

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Solution

The fourth proportional to 10,966.87, 15,136.23 and 6,493.11 is: 8,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.87 : 15,136.23 = 6,493.11 : x
  2. Step 2: Convert to fraction form
    10,966.87/15,136.23 = 6,493.11/x
  3. Step 3: Cross multiply
    10,966.87x = 15,136.23 × 6,493.11
  4. Step 4: Simplify right side
    10,966.87x = 98,281,206.38
  5. Step 5: Solve for x
    x = 98,281,206.38/10,966.87
  6. Step 6: Final answer
    x = 8,961.65

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Why These Related Problems?

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