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Finding the Fourth Proportional to 10,550.70, 15,826.95 and 2,759.50

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Solution

The fourth proportional to 10,550.70, 15,826.95 and 2,759.50 is: 4,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.70 : 15,826.95 = 2,759.50 : x
  2. Step 2: Convert to fraction form
    10,550.70/15,826.95 = 2,759.50/x
  3. Step 3: Cross multiply
    10,550.70x = 15,826.95 × 2,759.50
  4. Step 4: Simplify right side
    10,550.70x = 43,674,468.53
  5. Step 5: Solve for x
    x = 43,674,468.53/10,550.70
  6. Step 6: Final answer
    x = 4,139.49

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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.