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Finding the Fourth Proportional to 8,711.16, 12,021.65 and 4,934.24

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Solution

The fourth proportional to 8,711.16, 12,021.65 and 4,934.24 is: 6,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.16 : 12,021.65 = 4,934.24 : x
  2. Step 2: Convert to fraction form
    8,711.16/12,021.65 = 4,934.24/x
  3. Step 3: Cross multiply
    8,711.16x = 12,021.65 × 4,934.24
  4. Step 4: Simplify right side
    8,711.16x = 59,317,706.30
  5. Step 5: Solve for x
    x = 59,317,706.30/8,711.16
  6. Step 6: Final answer
    x = 6,809.39

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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.