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Finding the Fourth Proportional to 10,908.33, 15,051.69 and 6,431.48

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Solution

The fourth proportional to 10,908.33, 15,051.69 and 6,431.48 is: 8,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.33 : 15,051.69 = 6,431.48 : x
  2. Step 2: Convert to fraction form
    10,908.33/15,051.69 = 6,431.48/x
  3. Step 3: Cross multiply
    10,908.33x = 15,051.69 × 6,431.48
  4. Step 4: Simplify right side
    10,908.33x = 96,804,643.20
  5. Step 5: Solve for x
    x = 96,804,643.20/10,908.33
  6. Step 6: Final answer
    x = 8,874.38

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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.