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Finding the Fourth Proportional to 8,711.57, 13,068.07 and 5,225.38

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Solution

The fourth proportional to 8,711.57, 13,068.07 and 5,225.38 is: 7,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.57 : 13,068.07 = 5,225.38 : x
  2. Step 2: Convert to fraction form
    8,711.57/13,068.07 = 5,225.38/x
  3. Step 3: Cross multiply
    8,711.57x = 13,068.07 × 5,225.38
  4. Step 4: Simplify right side
    8,711.57x = 68,285,585.88
  5. Step 5: Solve for x
    x = 68,285,585.88/8,711.57
  6. Step 6: Final answer
    x = 7,838.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.