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Finding the Fourth Proportional to 10,162.77, 14,029.41 and 7,645.84

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Solution

The fourth proportional to 10,162.77, 14,029.41 and 7,645.84 is: 10,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.77 : 14,029.41 = 7,645.84 : x
  2. Step 2: Convert to fraction form
    10,162.77/14,029.41 = 7,645.84/x
  3. Step 3: Cross multiply
    10,162.77x = 14,029.41 × 7,645.84
  4. Step 4: Simplify right side
    10,162.77x = 107,266,589.08
  5. Step 5: Solve for x
    x = 107,266,589.08/10,162.77
  6. Step 6: Final answer
    x = 10,554.86

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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.