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Finding the Fourth Proportional to 8,047.83, 12,071.16 and 2,203.98

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Solution

The fourth proportional to 8,047.83, 12,071.16 and 2,203.98 is: 3,305.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.83 : 12,071.16 = 2,203.98 : x
  2. Step 2: Convert to fraction form
    8,047.83/12,071.16 = 2,203.98/x
  3. Step 3: Cross multiply
    8,047.83x = 12,071.16 × 2,203.98
  4. Step 4: Simplify right side
    8,047.83x = 26,604,595.22
  5. Step 5: Solve for x
    x = 26,604,595.22/8,047.83
  6. Step 6: Final answer
    x = 3,305.81

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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.