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Finding the Fourth Proportional to 8,050.32, 12,071.03 and 2,782.49

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Solution

The fourth proportional to 8,050.32, 12,071.03 and 2,782.49 is: 4,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.32 : 12,071.03 = 2,782.49 : x
  2. Step 2: Convert to fraction form
    8,050.32/12,071.03 = 2,782.49/x
  3. Step 3: Cross multiply
    8,050.32x = 12,071.03 × 2,782.49
  4. Step 4: Simplify right side
    8,050.32x = 33,587,446.00
  5. Step 5: Solve for x
    x = 33,587,446.00/8,050.32
  6. Step 6: Final answer
    x = 4,172.19

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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.