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Finding the Fourth Proportional to 8,534.70, 11,777.86 and 4,757.83

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Solution

The fourth proportional to 8,534.70, 11,777.86 and 4,757.83 is: 6,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.70 : 11,777.86 = 4,757.83 : x
  2. Step 2: Convert to fraction form
    8,534.70/11,777.86 = 4,757.83/x
  3. Step 3: Cross multiply
    8,534.70x = 11,777.86 × 4,757.83
  4. Step 4: Simplify right side
    8,534.70x = 56,037,055.64
  5. Step 5: Solve for x
    x = 56,037,055.64/8,534.70
  6. Step 6: Final answer
    x = 6,565.79

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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.