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Finding the Fourth Proportional to 7,068.62, 10,605.69 and 2,138.76

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Solution

The fourth proportional to 7,068.62, 10,605.69 and 2,138.76 is: 3,208.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.62 : 10,605.69 = 2,138.76 : x
  2. Step 2: Convert to fraction form
    7,068.62/10,605.69 = 2,138.76/x
  3. Step 3: Cross multiply
    7,068.62x = 10,605.69 × 2,138.76
  4. Step 4: Simplify right side
    7,068.62x = 22,683,025.54
  5. Step 5: Solve for x
    x = 22,683,025.54/7,068.62
  6. Step 6: Final answer
    x = 3,208.98

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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.