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Finding the Fourth Proportional to 11,042.92, 15,233.86 and 6,563.50

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Solution

The fourth proportional to 11,042.92, 15,233.86 and 6,563.50 is: 9,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.92 : 15,233.86 = 6,563.50 : x
  2. Step 2: Convert to fraction form
    11,042.92/15,233.86 = 6,563.50/x
  3. Step 3: Cross multiply
    11,042.92x = 15,233.86 × 6,563.50
  4. Step 4: Simplify right side
    11,042.92x = 99,987,440.11
  5. Step 5: Solve for x
    x = 99,987,440.11/11,042.92
  6. Step 6: Final answer
    x = 9,054.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.