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Finding the Fourth Proportional to 10,161.84, 13,992.16 and 8,895.82

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Solution

The fourth proportional to 10,161.84, 13,992.16 and 8,895.82 is: 12,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.84 : 13,992.16 = 8,895.82 : x
  2. Step 2: Convert to fraction form
    10,161.84/13,992.16 = 8,895.82/x
  3. Step 3: Cross multiply
    10,161.84x = 13,992.16 × 8,895.82
  4. Step 4: Simplify right side
    10,161.84x = 124,471,736.77
  5. Step 5: Solve for x
    x = 124,471,736.77/10,161.84
  6. Step 6: Final answer
    x = 12,248.94

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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.