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Finding the Fourth Proportional to 8,197.83, 11,312.60 and 5,016.42

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Solution

The fourth proportional to 8,197.83, 11,312.60 and 5,016.42 is: 6,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.83 : 11,312.60 = 5,016.42 : x
  2. Step 2: Convert to fraction form
    8,197.83/11,312.60 = 5,016.42/x
  3. Step 3: Cross multiply
    8,197.83x = 11,312.60 × 5,016.42
  4. Step 4: Simplify right side
    8,197.83x = 56,748,727.81
  5. Step 5: Solve for x
    x = 56,748,727.81/8,197.83
  6. Step 6: Final answer
    x = 6,922.41

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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.