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Finding the Fourth Proportional to 8,690.73, 11,993.16 and 4,711.80

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Solution

The fourth proportional to 8,690.73, 11,993.16 and 4,711.80 is: 6,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.73 : 11,993.16 = 4,711.80 : x
  2. Step 2: Convert to fraction form
    8,690.73/11,993.16 = 4,711.80/x
  3. Step 3: Cross multiply
    8,690.73x = 11,993.16 × 4,711.80
  4. Step 4: Simplify right side
    8,690.73x = 56,509,371.29
  5. Step 5: Solve for x
    x = 56,509,371.29/8,690.73
  6. Step 6: Final answer
    x = 6,502.26

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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.