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Finding the Fourth Proportional to 8,530.64, 11,777.72 and 6,537.52

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Solution

The fourth proportional to 8,530.64, 11,777.72 and 6,537.52 is: 9,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.64 : 11,777.72 = 6,537.52 : x
  2. Step 2: Convert to fraction form
    8,530.64/11,777.72 = 6,537.52/x
  3. Step 3: Cross multiply
    8,530.64x = 11,777.72 × 6,537.52
  4. Step 4: Simplify right side
    8,530.64x = 76,997,080.05
  5. Step 5: Solve for x
    x = 76,997,080.05/8,530.64
  6. Step 6: Final answer
    x = 9,025.94

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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.