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Finding the Fourth Proportional to 11,572.10, 15,969.55 and 6,266.92

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Solution

The fourth proportional to 11,572.10, 15,969.55 and 6,266.92 is: 8,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.10 : 15,969.55 = 6,266.92 : x
  2. Step 2: Convert to fraction form
    11,572.10/15,969.55 = 6,266.92/x
  3. Step 3: Cross multiply
    11,572.10x = 15,969.55 × 6,266.92
  4. Step 4: Simplify right side
    11,572.10x = 100,079,892.29
  5. Step 5: Solve for x
    x = 100,079,892.29/11,572.10
  6. Step 6: Final answer
    x = 8,648.38

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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.