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Finding the Fourth Proportional to 8,263.24, 12,402.96 and 6,065.74

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Solution

The fourth proportional to 8,263.24, 12,402.96 and 6,065.74 is: 9,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.24 : 12,402.96 = 6,065.74 : x
  2. Step 2: Convert to fraction form
    8,263.24/12,402.96 = 6,065.74/x
  3. Step 3: Cross multiply
    8,263.24x = 12,402.96 × 6,065.74
  4. Step 4: Simplify right side
    8,263.24x = 75,233,130.59
  5. Step 5: Solve for x
    x = 75,233,130.59/8,263.24
  6. Step 6: Final answer
    x = 9,104.56

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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.