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Finding the Fourth Proportional to 8,447.84, 12,675.31 and 3,764.63

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Solution

The fourth proportional to 8,447.84, 12,675.31 and 3,764.63 is: 5,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.84 : 12,675.31 = 3,764.63 : x
  2. Step 2: Convert to fraction form
    8,447.84/12,675.31 = 3,764.63/x
  3. Step 3: Cross multiply
    8,447.84x = 12,675.31 × 3,764.63
  4. Step 4: Simplify right side
    8,447.84x = 47,717,779.50
  5. Step 5: Solve for x
    x = 47,717,779.50/8,447.84
  6. Step 6: Final answer
    x = 5,648.52

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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.