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Finding the Fourth Proportional to 10,721.26, 14,803.05 and 6,949.90

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Solution

The fourth proportional to 10,721.26, 14,803.05 and 6,949.90 is: 9,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.26 : 14,803.05 = 6,949.90 : x
  2. Step 2: Convert to fraction form
    10,721.26/14,803.05 = 6,949.90/x
  3. Step 3: Cross multiply
    10,721.26x = 14,803.05 × 6,949.90
  4. Step 4: Simplify right side
    10,721.26x = 102,879,717.20
  5. Step 5: Solve for x
    x = 102,879,717.20/10,721.26
  6. Step 6: Final answer
    x = 9,595.86

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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.