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Finding the Fourth Proportional to 10,476.28, 14,456.92 and 5,696.20

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Solution

The fourth proportional to 10,476.28, 14,456.92 and 5,696.20 is: 7,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.28 : 14,456.92 = 5,696.20 : x
  2. Step 2: Convert to fraction form
    10,476.28/14,456.92 = 5,696.20/x
  3. Step 3: Cross multiply
    10,476.28x = 14,456.92 × 5,696.20
  4. Step 4: Simplify right side
    10,476.28x = 82,349,507.70
  5. Step 5: Solve for x
    x = 82,349,507.70/10,476.28
  6. Step 6: Final answer
    x = 7,860.57

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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.