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Finding the Fourth Proportional to 10,076.97, 13,910.13 and 7,566.33

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Solution

The fourth proportional to 10,076.97, 13,910.13 and 7,566.33 is: 10,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.97 : 13,910.13 = 7,566.33 : x
  2. Step 2: Convert to fraction form
    10,076.97/13,910.13 = 7,566.33/x
  3. Step 3: Cross multiply
    10,076.97x = 13,910.13 × 7,566.33
  4. Step 4: Simplify right side
    10,076.97x = 105,248,633.92
  5. Step 5: Solve for x
    x = 105,248,633.92/10,076.97
  6. Step 6: Final answer
    x = 10,444.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.