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Finding the Fourth Proportional to 10,729.16, 14,807.05 and 6,753.68

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Solution

The fourth proportional to 10,729.16, 14,807.05 and 6,753.68 is: 9,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.16 : 14,807.05 = 6,753.68 : x
  2. Step 2: Convert to fraction form
    10,729.16/14,807.05 = 6,753.68/x
  3. Step 3: Cross multiply
    10,729.16x = 14,807.05 × 6,753.68
  4. Step 4: Simplify right side
    10,729.16x = 100,002,077.44
  5. Step 5: Solve for x
    x = 100,002,077.44/10,729.16
  6. Step 6: Final answer
    x = 9,320.59

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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.