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Finding the Fourth Proportional to 8,352.72, 12,471.84 and 8,050.32

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Solution

The fourth proportional to 8,352.72, 12,471.84 and 8,050.32 is: 12,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.72 : 12,471.84 = 8,050.32 : x
  2. Step 2: Convert to fraction form
    8,352.72/12,471.84 = 8,050.32/x
  3. Step 3: Cross multiply
    8,352.72x = 12,471.84 × 8,050.32
  4. Step 4: Simplify right side
    8,352.72x = 100,402,302.99
  5. Step 5: Solve for x
    x = 100,402,302.99/8,352.72
  6. Step 6: Final answer
    x = 12,020.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.