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Finding the Fourth Proportional to 8,585.11, 11,847.14 and 4,808.16

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Solution

The fourth proportional to 8,585.11, 11,847.14 and 4,808.16 is: 6,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.11 : 11,847.14 = 4,808.16 : x
  2. Step 2: Convert to fraction form
    8,585.11/11,847.14 = 4,808.16/x
  3. Step 3: Cross multiply
    8,585.11x = 11,847.14 × 4,808.16
  4. Step 4: Simplify right side
    8,585.11x = 56,962,965.70
  5. Step 5: Solve for x
    x = 56,962,965.70/8,585.11
  6. Step 6: Final answer
    x = 6,635.09

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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.