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Finding the Fourth Proportional to 7,498.10, 11,246.67 and 2,304.50

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Solution

The fourth proportional to 7,498.10, 11,246.67 and 2,304.50 is: 3,456.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.10 : 11,246.67 = 2,304.50 : x
  2. Step 2: Convert to fraction form
    7,498.10/11,246.67 = 2,304.50/x
  3. Step 3: Cross multiply
    7,498.10x = 11,246.67 × 2,304.50
  4. Step 4: Simplify right side
    7,498.10x = 25,917,951.02
  5. Step 5: Solve for x
    x = 25,917,951.02/7,498.10
  6. Step 6: Final answer
    x = 3,456.60

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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.