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Finding the Fourth Proportional to 7,881.36, 10,865.82 and 6,531.92

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Solution

The fourth proportional to 7,881.36, 10,865.82 and 6,531.92 is: 9,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.36 : 10,865.82 = 6,531.92 : x
  2. Step 2: Convert to fraction form
    7,881.36/10,865.82 = 6,531.92/x
  3. Step 3: Cross multiply
    7,881.36x = 10,865.82 × 6,531.92
  4. Step 4: Simplify right side
    7,881.36x = 70,974,612.65
  5. Step 5: Solve for x
    x = 70,974,612.65/7,881.36
  6. Step 6: Final answer
    x = 9,005.38

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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.