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Finding the Fourth Proportional to 8,174.96, 12,266.24 and 3,496.40

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Solution

The fourth proportional to 8,174.96, 12,266.24 and 3,496.40 is: 5,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.96 : 12,266.24 = 3,496.40 : x
  2. Step 2: Convert to fraction form
    8,174.96/12,266.24 = 3,496.40/x
  3. Step 3: Cross multiply
    8,174.96x = 12,266.24 × 3,496.40
  4. Step 4: Simplify right side
    8,174.96x = 42,887,681.54
  5. Step 5: Solve for x
    x = 42,887,681.54/8,174.96
  6. Step 6: Final answer
    x = 5,246.23

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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.