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Finding the Fourth Proportional to 11,473.12, 15,833.82 and 6,694.53

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Solution

The fourth proportional to 11,473.12, 15,833.82 and 6,694.53 is: 9,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473.12 : 15,833.82 = 6,694.53 : x
  2. Step 2: Convert to fraction form
    11,473.12/15,833.82 = 6,694.53/x
  3. Step 3: Cross multiply
    11,473.12x = 15,833.82 × 6,694.53
  4. Step 4: Simplify right side
    11,473.12x = 105,999,983.00
  5. Step 5: Solve for x
    x = 105,999,983.00/11,473.12
  6. Step 6: Final answer
    x = 9,238.98

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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.