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Finding the Fourth Proportional to 7,663.55, 11,493.50 and 2,116.77

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Solution

The fourth proportional to 7,663.55, 11,493.50 and 2,116.77 is: 3,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.55 : 11,493.50 = 2,116.77 : x
  2. Step 2: Convert to fraction form
    7,663.55/11,493.50 = 2,116.77/x
  3. Step 3: Cross multiply
    7,663.55x = 11,493.50 × 2,116.77
  4. Step 4: Simplify right side
    7,663.55x = 24,329,042.31
  5. Step 5: Solve for x
    x = 24,329,042.31/7,663.55
  6. Step 6: Final answer
    x = 3,174.65

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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.