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Finding the Fourth Proportional to 7,726.40, 11,591.20 and 3,109.40

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Solution

The fourth proportional to 7,726.40, 11,591.20 and 3,109.40 is: 4,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.40 : 11,591.20 = 3,109.40 : x
  2. Step 2: Convert to fraction form
    7,726.40/11,591.20 = 3,109.40/x
  3. Step 3: Cross multiply
    7,726.40x = 11,591.20 × 3,109.40
  4. Step 4: Simplify right side
    7,726.40x = 36,041,677.28
  5. Step 5: Solve for x
    x = 36,041,677.28/7,726.40
  6. Step 6: Final answer
    x = 4,664.74

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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.