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Finding the Fourth Proportional to 10,758, 16,138.44 and 4,603.44

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Solution

The fourth proportional to 10,758, 16,138.44 and 4,603.44 is: 6,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758 : 16,138.44 = 4,603.44 : x
  2. Step 2: Convert to fraction form
    10,758/16,138.44 = 4,603.44/x
  3. Step 3: Cross multiply
    10,758x = 16,138.44 × 4,603.44
  4. Step 4: Simplify right side
    10,758x = 74,292,340.23
  5. Step 5: Solve for x
    x = 74,292,340.23/10,758
  6. Step 6: Final answer
    x = 6,905.78

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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.