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Finding the Fourth Proportional to 7,663.76, 11,495.42 and 2,117.44

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Solution

The fourth proportional to 7,663.76, 11,495.42 and 2,117.44 is: 3,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.76 : 11,495.42 = 2,117.44 : x
  2. Step 2: Convert to fraction form
    7,663.76/11,495.42 = 2,117.44/x
  3. Step 3: Cross multiply
    7,663.76x = 11,495.42 × 2,117.44
  4. Step 4: Simplify right side
    7,663.76x = 24,340,873.85
  5. Step 5: Solve for x
    x = 24,340,873.85/7,663.76
  6. Step 6: Final answer
    x = 3,176.10

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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.