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Finding the Fourth Proportional to 8,537.52, 11,772.80 and 6,742.02

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Solution

The fourth proportional to 8,537.52, 11,772.80 and 6,742.02 is: 9,296.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.52 : 11,772.80 = 6,742.02 : x
  2. Step 2: Convert to fraction form
    8,537.52/11,772.80 = 6,742.02/x
  3. Step 3: Cross multiply
    8,537.52x = 11,772.80 × 6,742.02
  4. Step 4: Simplify right side
    8,537.52x = 79,372,453.06
  5. Step 5: Solve for x
    x = 79,372,453.06/8,537.52
  6. Step 6: Final answer
    x = 9,296.90

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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.