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Finding the Fourth Proportional to 8,191.57, 11,303.22 and 4,606.03

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Solution

The fourth proportional to 8,191.57, 11,303.22 and 4,606.03 is: 6,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.57 : 11,303.22 = 4,606.03 : x
  2. Step 2: Convert to fraction form
    8,191.57/11,303.22 = 4,606.03/x
  3. Step 3: Cross multiply
    8,191.57x = 11,303.22 × 4,606.03
  4. Step 4: Simplify right side
    8,191.57x = 52,062,970.42
  5. Step 5: Solve for x
    x = 52,062,970.42/8,191.57
  6. Step 6: Final answer
    x = 6,355.68

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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.