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Finding the Fourth Proportional to 11,042.72, 15,237.36 and 6,074.72

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Solution

The fourth proportional to 11,042.72, 15,237.36 and 6,074.72 is: 8,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.72 : 15,237.36 = 6,074.72 : x
  2. Step 2: Convert to fraction form
    11,042.72/15,237.36 = 6,074.72/x
  3. Step 3: Cross multiply
    11,042.72x = 15,237.36 × 6,074.72
  4. Step 4: Simplify right side
    11,042.72x = 92,562,695.54
  5. Step 5: Solve for x
    x = 92,562,695.54/11,042.72
  6. Step 6: Final answer
    x = 8,382.24

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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.