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Finding the Fourth Proportional to 8,403.12, 12,603.87 and 2,559.78

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Solution

The fourth proportional to 8,403.12, 12,603.87 and 2,559.78 is: 3,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.12 : 12,603.87 = 2,559.78 : x
  2. Step 2: Convert to fraction form
    8,403.12/12,603.87 = 2,559.78/x
  3. Step 3: Cross multiply
    8,403.12x = 12,603.87 × 2,559.78
  4. Step 4: Simplify right side
    8,403.12x = 32,263,134.35
  5. Step 5: Solve for x
    x = 32,263,134.35/8,403.12
  6. Step 6: Final answer
    x = 3,839.42

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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.