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Finding the Fourth Proportional to 7,779.49, 11,664.52 and 3,100.21

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Solution

The fourth proportional to 7,779.49, 11,664.52 and 3,100.21 is: 4,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.49 : 11,664.52 = 3,100.21 : x
  2. Step 2: Convert to fraction form
    7,779.49/11,664.52 = 3,100.21/x
  3. Step 3: Cross multiply
    7,779.49x = 11,664.52 × 3,100.21
  4. Step 4: Simplify right side
    7,779.49x = 36,162,424.64
  5. Step 5: Solve for x
    x = 36,162,424.64/7,779.49
  6. Step 6: Final answer
    x = 4,648.43

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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.