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Finding the Fourth Proportional to 8,534.34, 11,777.44 and 4,757.75

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Solution

The fourth proportional to 8,534.34, 11,777.44 and 4,757.75 is: 6,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.34 : 11,777.44 = 4,757.75 : x
  2. Step 2: Convert to fraction form
    8,534.34/11,777.44 = 4,757.75/x
  3. Step 3: Cross multiply
    8,534.34x = 11,777.44 × 4,757.75
  4. Step 4: Simplify right side
    8,534.34x = 56,034,115.16
  5. Step 5: Solve for x
    x = 56,034,115.16/8,534.34
  6. Step 6: Final answer
    x = 6,565.72

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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.