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Finding the Fourth Proportional to 7,848.90, 11,766.03 and 2,651.14

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Solution

The fourth proportional to 7,848.90, 11,766.03 and 2,651.14 is: 3,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.90 : 11,766.03 = 2,651.14 : x
  2. Step 2: Convert to fraction form
    7,848.90/11,766.03 = 2,651.14/x
  3. Step 3: Cross multiply
    7,848.90x = 11,766.03 × 2,651.14
  4. Step 4: Simplify right side
    7,848.90x = 31,193,392.77
  5. Step 5: Solve for x
    x = 31,193,392.77/7,848.90
  6. Step 6: Final answer
    x = 3,974.24

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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.