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Finding the Fourth Proportional to 10,648, 14,694.06 and 5,932.18

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Solution

The fourth proportional to 10,648, 14,694.06 and 5,932.18 is: 8,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648 : 14,694.06 = 5,932.18 : x
  2. Step 2: Convert to fraction form
    10,648/14,694.06 = 5,932.18/x
  3. Step 3: Cross multiply
    10,648x = 14,694.06 × 5,932.18
  4. Step 4: Simplify right side
    10,648x = 87,167,808.85
  5. Step 5: Solve for x
    x = 87,167,808.85/10,648
  6. Step 6: Final answer
    x = 8,186.31

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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.