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Finding the Fourth Proportional to 8,167.50, 11,271.42 and 5,023.08

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Solution

The fourth proportional to 8,167.50, 11,271.42 and 5,023.08 is: 6,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.50 : 11,271.42 = 5,023.08 : x
  2. Step 2: Convert to fraction form
    8,167.50/11,271.42 = 5,023.08/x
  3. Step 3: Cross multiply
    8,167.50x = 11,271.42 × 5,023.08
  4. Step 4: Simplify right side
    8,167.50x = 56,617,244.37
  5. Step 5: Solve for x
    x = 56,617,244.37/8,167.50
  6. Step 6: Final answer
    x = 6,932.02

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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.