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Finding the Fourth Proportional to 10,480.13, 14,462.28 and 5,764.41

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Solution

The fourth proportional to 10,480.13, 14,462.28 and 5,764.41 is: 7,954.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.13 : 14,462.28 = 5,764.41 : x
  2. Step 2: Convert to fraction form
    10,480.13/14,462.28 = 5,764.41/x
  3. Step 3: Cross multiply
    10,480.13x = 14,462.28 × 5,764.41
  4. Step 4: Simplify right side
    10,480.13x = 83,366,511.45
  5. Step 5: Solve for x
    x = 83,366,511.45/10,480.13
  6. Step 6: Final answer
    x = 7,954.72

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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.