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Finding the Fourth Proportional to 8,532.06, 11,776.74 and 5,548.20

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Solution

The fourth proportional to 8,532.06, 11,776.74 and 5,548.20 is: 7,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.06 : 11,776.74 = 5,548.20 : x
  2. Step 2: Convert to fraction form
    8,532.06/11,776.74 = 5,548.20/x
  3. Step 3: Cross multiply
    8,532.06x = 11,776.74 × 5,548.20
  4. Step 4: Simplify right side
    8,532.06x = 65,339,708.87
  5. Step 5: Solve for x
    x = 65,339,708.87/8,532.06
  6. Step 6: Final answer
    x = 7,658.14

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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.