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Finding the Fourth Proportional to 8,113.57, 11,196.87 and 4,758.80

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Solution

The fourth proportional to 8,113.57, 11,196.87 and 4,758.80 is: 6,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.57 : 11,196.87 = 4,758.80 : x
  2. Step 2: Convert to fraction form
    8,113.57/11,196.87 = 4,758.80/x
  3. Step 3: Cross multiply
    8,113.57x = 11,196.87 × 4,758.80
  4. Step 4: Simplify right side
    8,113.57x = 53,283,664.96
  5. Step 5: Solve for x
    x = 53,283,664.96/8,113.57
  6. Step 6: Final answer
    x = 6,567.23

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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.