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Finding the Fourth Proportional to 7,135.14, 10,699.70 and 2,138.22

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Solution

The fourth proportional to 7,135.14, 10,699.70 and 2,138.22 is: 3,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.14 : 10,699.70 = 2,138.22 : x
  2. Step 2: Convert to fraction form
    7,135.14/10,699.70 = 2,138.22/x
  3. Step 3: Cross multiply
    7,135.14x = 10,699.70 × 2,138.22
  4. Step 4: Simplify right side
    7,135.14x = 22,878,329.92
  5. Step 5: Solve for x
    x = 22,878,329.92/7,135.14
  6. Step 6: Final answer
    x = 3,206.43

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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.