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Finding the Fourth Proportional to 10,786.52, 14,840.88 and 8,424.56

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Solution

The fourth proportional to 10,786.52, 14,840.88 and 8,424.56 is: 11,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.52 : 14,840.88 = 8,424.56 : x
  2. Step 2: Convert to fraction form
    10,786.52/14,840.88 = 8,424.56/x
  3. Step 3: Cross multiply
    10,786.52x = 14,840.88 × 8,424.56
  4. Step 4: Simplify right side
    10,786.52x = 125,027,884.01
  5. Step 5: Solve for x
    x = 125,027,884.01/10,786.52
  6. Step 6: Final answer
    x = 11,591.12

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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.