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Finding the Fourth Proportional to 11,356.26, 15,672.38 and 6,320.42

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Solution

The fourth proportional to 11,356.26, 15,672.38 and 6,320.42 is: 8,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.26 : 15,672.38 = 6,320.42 : x
  2. Step 2: Convert to fraction form
    11,356.26/15,672.38 = 6,320.42/x
  3. Step 3: Cross multiply
    11,356.26x = 15,672.38 × 6,320.42
  4. Step 4: Simplify right side
    11,356.26x = 99,056,024.00
  5. Step 5: Solve for x
    x = 99,056,024.00/11,356.26
  6. Step 6: Final answer
    x = 8,722.59

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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.