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Finding the Fourth Proportional to 7,752.69, 11,630.72 and 2,486.48

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Solution

The fourth proportional to 7,752.69, 11,630.72 and 2,486.48 is: 3,730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.69 : 11,630.72 = 2,486.48 : x
  2. Step 2: Convert to fraction form
    7,752.69/11,630.72 = 2,486.48/x
  3. Step 3: Cross multiply
    7,752.69x = 11,630.72 × 2,486.48
  4. Step 4: Simplify right side
    7,752.69x = 28,919,552.67
  5. Step 5: Solve for x
    x = 28,919,552.67/7,752.69
  6. Step 6: Final answer
    x = 3,730.26

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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.