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Finding the Fourth Proportional to 11,543.38, 15,919.40 and 7,563.04

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Solution

The fourth proportional to 11,543.38, 15,919.40 and 7,563.04 is: 10,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.38 : 15,919.40 = 7,563.04 : x
  2. Step 2: Convert to fraction form
    11,543.38/15,919.40 = 7,563.04/x
  3. Step 3: Cross multiply
    11,543.38x = 15,919.40 × 7,563.04
  4. Step 4: Simplify right side
    11,543.38x = 120,399,058.98
  5. Step 5: Solve for x
    x = 120,399,058.98/11,543.38
  6. Step 6: Final answer
    x = 10,430.14

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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.