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Finding the Fourth Proportional to 11,042.11, 15,232.74 and 6,562.69

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Solution

The fourth proportional to 11,042.11, 15,232.74 and 6,562.69 is: 9,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.11 : 15,232.74 = 6,562.69 : x
  2. Step 2: Convert to fraction form
    11,042.11/15,232.74 = 6,562.69/x
  3. Step 3: Cross multiply
    11,042.11x = 15,232.74 × 6,562.69
  4. Step 4: Simplify right side
    11,042.11x = 99,967,712.39
  5. Step 5: Solve for x
    x = 99,967,712.39/11,042.11
  6. Step 6: Final answer
    x = 9,053.32

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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.