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Finding the Fourth Proportional to 10,980.38, 15,154.11 and 7,206.59

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Solution

The fourth proportional to 10,980.38, 15,154.11 and 7,206.59 is: 9,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.38 : 15,154.11 = 7,206.59 : x
  2. Step 2: Convert to fraction form
    10,980.38/15,154.11 = 7,206.59/x
  3. Step 3: Cross multiply
    10,980.38x = 15,154.11 × 7,206.59
  4. Step 4: Simplify right side
    10,980.38x = 109,209,381.81
  5. Step 5: Solve for x
    x = 109,209,381.81/10,980.38
  6. Step 6: Final answer
    x = 9,945.87

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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.