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Finding the Fourth Proportional to 10,729.82, 14,807.13 and 6,538.07

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Solution

The fourth proportional to 10,729.82, 14,807.13 and 6,538.07 is: 9,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.82 : 14,807.13 = 6,538.07 : x
  2. Step 2: Convert to fraction form
    10,729.82/14,807.13 = 6,538.07/x
  3. Step 3: Cross multiply
    10,729.82x = 14,807.13 × 6,538.07
  4. Step 4: Simplify right side
    10,729.82x = 96,810,052.44
  5. Step 5: Solve for x
    x = 96,810,052.44/10,729.82
  6. Step 6: Final answer
    x = 9,022.52

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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.