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Finding the Fourth Proportional to 8,196.10, 11,310.50 and 4,659.24

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Solution

The fourth proportional to 8,196.10, 11,310.50 and 4,659.24 is: 6,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.10 : 11,310.50 = 4,659.24 : x
  2. Step 2: Convert to fraction form
    8,196.10/11,310.50 = 4,659.24/x
  3. Step 3: Cross multiply
    8,196.10x = 11,310.50 × 4,659.24
  4. Step 4: Simplify right side
    8,196.10x = 52,698,334.02
  5. Step 5: Solve for x
    x = 52,698,334.02/8,196.10
  6. Step 6: Final answer
    x = 6,429.68

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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.