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Finding the Fourth Proportional to 8,771, 12,109.38 and 5,632.72

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Solution

The fourth proportional to 8,771, 12,109.38 and 5,632.72 is: 7,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771 : 12,109.38 = 5,632.72 : x
  2. Step 2: Convert to fraction form
    8,771/12,109.38 = 5,632.72/x
  3. Step 3: Cross multiply
    8,771x = 12,109.38 × 5,632.72
  4. Step 4: Simplify right side
    8,771x = 68,208,746.91
  5. Step 5: Solve for x
    x = 68,208,746.91/8,771
  6. Step 6: Final answer
    x = 7,776.62

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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.