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Finding the Fourth Proportional to 8,205.59, 11,319.84 and 4,846.16

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Solution

The fourth proportional to 8,205.59, 11,319.84 and 4,846.16 is: 6,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.59 : 11,319.84 = 4,846.16 : x
  2. Step 2: Convert to fraction form
    8,205.59/11,319.84 = 4,846.16/x
  3. Step 3: Cross multiply
    8,205.59x = 11,319.84 × 4,846.16
  4. Step 4: Simplify right side
    8,205.59x = 54,857,784.11
  5. Step 5: Solve for x
    x = 54,857,784.11/8,205.59
  6. Step 6: Final answer
    x = 6,685.41

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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.