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Finding the Fourth Proportional to 8,000.77, 12,003.65 and 2,378.47

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Solution

The fourth proportional to 8,000.77, 12,003.65 and 2,378.47 is: 3,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.77 : 12,003.65 = 2,378.47 : x
  2. Step 2: Convert to fraction form
    8,000.77/12,003.65 = 2,378.47/x
  3. Step 3: Cross multiply
    8,000.77x = 12,003.65 × 2,378.47
  4. Step 4: Simplify right side
    8,000.77x = 28,550,321.42
  5. Step 5: Solve for x
    x = 28,550,321.42/8,000.77
  6. Step 6: Final answer
    x = 3,568.45

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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.