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Finding the Fourth Proportional to 8,367.16, 11,545.74 and 5,179

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Solution

The fourth proportional to 8,367.16, 11,545.74 and 5,179 is: 7,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.16 : 11,545.74 = 5,179 : x
  2. Step 2: Convert to fraction form
    8,367.16/11,545.74 = 5,179/x
  3. Step 3: Cross multiply
    8,367.16x = 11,545.74 × 5,179
  4. Step 4: Simplify right side
    8,367.16x = 59,795,387.46
  5. Step 5: Solve for x
    x = 59,795,387.46/8,367.16
  6. Step 6: Final answer
    x = 7,146.44

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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.