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Finding the Fourth Proportional to 7,767.39, 11,647.14 and 3,818.95

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Solution

The fourth proportional to 7,767.39, 11,647.14 and 3,818.95 is: 5,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.39 : 11,647.14 = 3,818.95 : x
  2. Step 2: Convert to fraction form
    7,767.39/11,647.14 = 3,818.95/x
  3. Step 3: Cross multiply
    7,767.39x = 11,647.14 × 3,818.95
  4. Step 4: Simplify right side
    7,767.39x = 44,479,823.35
  5. Step 5: Solve for x
    x = 44,479,823.35/7,767.39
  6. Step 6: Final answer
    x = 5,726.48

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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.