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Finding the Fourth Proportional to 7,508.77, 11,264.67 and 2,243.90

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Solution

The fourth proportional to 7,508.77, 11,264.67 and 2,243.90 is: 3,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,508.77 : 11,264.67 = 2,243.90 : x
  2. Step 2: Convert to fraction form
    7,508.77/11,264.67 = 2,243.90/x
  3. Step 3: Cross multiply
    7,508.77x = 11,264.67 × 2,243.90
  4. Step 4: Simplify right side
    7,508.77x = 25,276,821.17
  5. Step 5: Solve for x
    x = 25,276,821.17/7,508.77
  6. Step 6: Final answer
    x = 3,366.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.