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Finding the Fourth Proportional to 10,759.32, 14,842.62 and 6,983.10

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Solution

The fourth proportional to 10,759.32, 14,842.62 and 6,983.10 is: 9,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,759.32 : 14,842.62 = 6,983.10 : x
  2. Step 2: Convert to fraction form
    10,759.32/14,842.62 = 6,983.10/x
  3. Step 3: Cross multiply
    10,759.32x = 14,842.62 × 6,983.10
  4. Step 4: Simplify right side
    10,759.32x = 103,647,499.72
  5. Step 5: Solve for x
    x = 103,647,499.72/10,759.32
  6. Step 6: Final answer
    x = 9,633.28

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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.