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Finding the Fourth Proportional to 10,726.44, 14,803.12 and 5,946.42

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Solution

The fourth proportional to 10,726.44, 14,803.12 and 5,946.42 is: 8,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.44 : 14,803.12 = 5,946.42 : x
  2. Step 2: Convert to fraction form
    10,726.44/14,803.12 = 5,946.42/x
  3. Step 3: Cross multiply
    10,726.44x = 14,803.12 × 5,946.42
  4. Step 4: Simplify right side
    10,726.44x = 88,025,568.83
  5. Step 5: Solve for x
    x = 88,025,568.83/10,726.44
  6. Step 6: Final answer
    x = 8,206.41

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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.