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Finding the Fourth Proportional to 8,354.82, 12,521.31 and 3,421.77

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Solution

The fourth proportional to 8,354.82, 12,521.31 and 3,421.77 is: 5,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.82 : 12,521.31 = 3,421.77 : x
  2. Step 2: Convert to fraction form
    8,354.82/12,521.31 = 3,421.77/x
  3. Step 3: Cross multiply
    8,354.82x = 12,521.31 × 3,421.77
  4. Step 4: Simplify right side
    8,354.82x = 42,845,042.92
  5. Step 5: Solve for x
    x = 42,845,042.92/8,354.82
  6. Step 6: Final answer
    x = 5,128.18

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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.