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Finding the Fourth Proportional to 8,563.12, 12,834.16 and 4,868.44

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Solution

The fourth proportional to 8,563.12, 12,834.16 and 4,868.44 is: 7,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.12 : 12,834.16 = 4,868.44 : x
  2. Step 2: Convert to fraction form
    8,563.12/12,834.16 = 4,868.44/x
  3. Step 3: Cross multiply
    8,563.12x = 12,834.16 × 4,868.44
  4. Step 4: Simplify right side
    8,563.12x = 62,482,337.91
  5. Step 5: Solve for x
    x = 62,482,337.91/8,563.12
  6. Step 6: Final answer
    x = 7,296.68

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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.