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Finding the Fourth Proportional to 6,318.56, 8,711.61 and 4,164.77

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Solution

The fourth proportional to 6,318.56, 8,711.61 and 4,164.77 is: 5,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.56 : 8,711.61 = 4,164.77 : x
  2. Step 2: Convert to fraction form
    6,318.56/8,711.61 = 4,164.77/x
  3. Step 3: Cross multiply
    6,318.56x = 8,711.61 × 4,164.77
  4. Step 4: Simplify right side
    6,318.56x = 36,281,808.42
  5. Step 5: Solve for x
    x = 36,281,808.42/6,318.56
  6. Step 6: Final answer
    x = 5,742.11

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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.