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Finding the Fourth Proportional to 8,501.66, 11,719.28 and 5,976.89

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Solution

The fourth proportional to 8,501.66, 11,719.28 and 5,976.89 is: 8,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501.66 : 11,719.28 = 5,976.89 : x
  2. Step 2: Convert to fraction form
    8,501.66/11,719.28 = 5,976.89/x
  3. Step 3: Cross multiply
    8,501.66x = 11,719.28 × 5,976.89
  4. Step 4: Simplify right side
    8,501.66x = 70,044,847.73
  5. Step 5: Solve for x
    x = 70,044,847.73/8,501.66
  6. Step 6: Final answer
    x = 8,238.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.