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Finding the Fourth Proportional to 8,525.64, 12,771.36 and 6,773.52

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Solution

The fourth proportional to 8,525.64, 12,771.36 and 6,773.52 is: 10,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.64 : 12,771.36 = 6,773.52 : x
  2. Step 2: Convert to fraction form
    8,525.64/12,771.36 = 6,773.52/x
  3. Step 3: Cross multiply
    8,525.64x = 12,771.36 × 6,773.52
  4. Step 4: Simplify right side
    8,525.64x = 86,507,062.39
  5. Step 5: Solve for x
    x = 86,507,062.39/8,525.64
  6. Step 6: Final answer
    x = 10,146.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.