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Finding the Fourth Proportional to 8,690.78, 11,993.24 and 4,711.89

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Solution

The fourth proportional to 8,690.78, 11,993.24 and 4,711.89 is: 6,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.78 : 11,993.24 = 4,711.89 : x
  2. Step 2: Convert to fraction form
    8,690.78/11,993.24 = 4,711.89/x
  3. Step 3: Cross multiply
    8,690.78x = 11,993.24 × 4,711.89
  4. Step 4: Simplify right side
    8,690.78x = 56,510,827.62
  5. Step 5: Solve for x
    x = 56,510,827.62/8,690.78
  6. Step 6: Final answer
    x = 6,502.39

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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.