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Finding the Fourth Proportional to 10,903.62, 15,049.90 and 6,715.38

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Solution

The fourth proportional to 10,903.62, 15,049.90 and 6,715.38 is: 9,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903.62 : 15,049.90 = 6,715.38 : x
  2. Step 2: Convert to fraction form
    10,903.62/15,049.90 = 6,715.38/x
  3. Step 3: Cross multiply
    10,903.62x = 15,049.90 × 6,715.38
  4. Step 4: Simplify right side
    10,903.62x = 101,065,797.46
  5. Step 5: Solve for x
    x = 101,065,797.46/10,903.62
  6. Step 6: Final answer
    x = 9,269.01

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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.