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Finding the Fourth Proportional to 4,006.70, 6,011.14 and 1,233.32

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Solution

The fourth proportional to 4,006.70, 6,011.14 and 1,233.32 is: 1,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.70 : 6,011.14 = 1,233.32 : x
  2. Step 2: Convert to fraction form
    4,006.70/6,011.14 = 1,233.32/x
  3. Step 3: Cross multiply
    4,006.70x = 6,011.14 × 1,233.32
  4. Step 4: Simplify right side
    4,006.70x = 7,413,659.18
  5. Step 5: Solve for x
    x = 7,413,659.18/4,006.70
  6. Step 6: Final answer
    x = 1,850.32

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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.