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Finding the Fourth Proportional to 10,726.74, 14,803.85 and 6,012.02

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Solution

The fourth proportional to 10,726.74, 14,803.85 and 6,012.02 is: 8,297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.74 : 14,803.85 = 6,012.02 : x
  2. Step 2: Convert to fraction form
    10,726.74/14,803.85 = 6,012.02/x
  3. Step 3: Cross multiply
    10,726.74x = 14,803.85 × 6,012.02
  4. Step 4: Simplify right side
    10,726.74x = 89,001,042.28
  5. Step 5: Solve for x
    x = 89,001,042.28/10,726.74
  6. Step 6: Final answer
    x = 8,297.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.