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Finding the Fourth Proportional to 11,476.28, 15,833.82 and 6,758.84

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Solution

The fourth proportional to 11,476.28, 15,833.82 and 6,758.84 is: 9,325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.28 : 15,833.82 = 6,758.84 : x
  2. Step 2: Convert to fraction form
    11,476.28/15,833.82 = 6,758.84/x
  3. Step 3: Cross multiply
    11,476.28x = 15,833.82 × 6,758.84
  4. Step 4: Simplify right side
    11,476.28x = 107,018,255.97
  5. Step 5: Solve for x
    x = 107,018,255.97/11,476.28
  6. Step 6: Final answer
    x = 9,325.17

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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.