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Finding the Fourth Proportional to 10,820.32, 14,934.16 and 6,839.44

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Solution

The fourth proportional to 10,820.32, 14,934.16 and 6,839.44 is: 9,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.32 : 14,934.16 = 6,839.44 : x
  2. Step 2: Convert to fraction form
    10,820.32/14,934.16 = 6,839.44/x
  3. Step 3: Cross multiply
    10,820.32x = 14,934.16 × 6,839.44
  4. Step 4: Simplify right side
    10,820.32x = 102,141,291.27
  5. Step 5: Solve for x
    x = 102,141,291.27/10,820.32
  6. Step 6: Final answer
    x = 9,439.77

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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.