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Finding the Fourth Proportional to 10,726.72, 14,794 and 7,364.20

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Solution

The fourth proportional to 10,726.72, 14,794 and 7,364.20 is: 10,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.72 : 14,794 = 7,364.20 : x
  2. Step 2: Convert to fraction form
    10,726.72/14,794 = 7,364.20/x
  3. Step 3: Cross multiply
    10,726.72x = 14,794 × 7,364.20
  4. Step 4: Simplify right side
    10,726.72x = 108,945,974.80
  5. Step 5: Solve for x
    x = 108,945,974.80/10,726.72
  6. Step 6: Final answer
    x = 10,156.50

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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.