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Finding the Fourth Proportional to 7,695.66, 11,536.43 and 2,764.13

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Solution

The fourth proportional to 7,695.66, 11,536.43 and 2,764.13 is: 4,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.66 : 11,536.43 = 2,764.13 : x
  2. Step 2: Convert to fraction form
    7,695.66/11,536.43 = 2,764.13/x
  3. Step 3: Cross multiply
    7,695.66x = 11,536.43 × 2,764.13
  4. Step 4: Simplify right side
    7,695.66x = 31,888,120.75
  5. Step 5: Solve for x
    x = 31,888,120.75/7,695.66
  6. Step 6: Final answer
    x = 4,143.65

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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.