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Finding the Fourth Proportional to 8,285.81, 12,417.35 and 4,382.42

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Solution

The fourth proportional to 8,285.81, 12,417.35 and 4,382.42 is: 6,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.81 : 12,417.35 = 4,382.42 : x
  2. Step 2: Convert to fraction form
    8,285.81/12,417.35 = 4,382.42/x
  3. Step 3: Cross multiply
    8,285.81x = 12,417.35 × 4,382.42
  4. Step 4: Simplify right side
    8,285.81x = 54,417,958.99
  5. Step 5: Solve for x
    x = 54,417,958.99/8,285.81
  6. Step 6: Final answer
    x = 6,567.61

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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.