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Finding the Fourth Proportional to 11,242.17, 15,511.73 and 6,523.74

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Solution

The fourth proportional to 11,242.17, 15,511.73 and 6,523.74 is: 9,001.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.17 : 15,511.73 = 6,523.74 : x
  2. Step 2: Convert to fraction form
    11,242.17/15,511.73 = 6,523.74/x
  3. Step 3: Cross multiply
    11,242.17x = 15,511.73 × 6,523.74
  4. Step 4: Simplify right side
    11,242.17x = 101,194,460.85
  5. Step 5: Solve for x
    x = 101,194,460.85/11,242.17
  6. Step 6: Final answer
    x = 9,001.33

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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.