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Finding the Fourth Proportional to 11,131.22, 15,371.42 and 7,159.24

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Solution

The fourth proportional to 11,131.22, 15,371.42 and 7,159.24 is: 9,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.22 : 15,371.42 = 7,159.24 : x
  2. Step 2: Convert to fraction form
    11,131.22/15,371.42 = 7,159.24/x
  3. Step 3: Cross multiply
    11,131.22x = 15,371.42 × 7,159.24
  4. Step 4: Simplify right side
    11,131.22x = 110,047,622.15
  5. Step 5: Solve for x
    x = 110,047,622.15/11,131.22
  6. Step 6: Final answer
    x = 9,886.39

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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.