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Finding the Fourth Proportional to 10,706.20, 14,777.52 and 6,230.82

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Solution

The fourth proportional to 10,706.20, 14,777.52 and 6,230.82 is: 8,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.20 : 14,777.52 = 6,230.82 : x
  2. Step 2: Convert to fraction form
    10,706.20/14,777.52 = 6,230.82/x
  3. Step 3: Cross multiply
    10,706.20x = 14,777.52 × 6,230.82
  4. Step 4: Simplify right side
    10,706.20x = 92,076,067.17
  5. Step 5: Solve for x
    x = 92,076,067.17/10,706.20
  6. Step 6: Final answer
    x = 8,600.26

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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.