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Finding the Fourth Proportional to 8,723.40, 12,035.33 and 5,742.24

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Solution

The fourth proportional to 8,723.40, 12,035.33 and 5,742.24 is: 7,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.40 : 12,035.33 = 5,742.24 : x
  2. Step 2: Convert to fraction form
    8,723.40/12,035.33 = 5,742.24/x
  3. Step 3: Cross multiply
    8,723.40x = 12,035.33 × 5,742.24
  4. Step 4: Simplify right side
    8,723.40x = 69,109,801.03
  5. Step 5: Solve for x
    x = 69,109,801.03/8,723.40
  6. Step 6: Final answer
    x = 7,922.35

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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.