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Finding the Fourth Proportional to 8,264.28, 11,403.54 and 4,726.74

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Solution

The fourth proportional to 8,264.28, 11,403.54 and 4,726.74 is: 6,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.28 : 11,403.54 = 4,726.74 : x
  2. Step 2: Convert to fraction form
    8,264.28/11,403.54 = 4,726.74/x
  3. Step 3: Cross multiply
    8,264.28x = 11,403.54 × 4,726.74
  4. Step 4: Simplify right side
    8,264.28x = 53,901,568.66
  5. Step 5: Solve for x
    x = 53,901,568.66/8,264.28
  6. Step 6: Final answer
    x = 6,522.23

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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.