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Finding the Fourth Proportional to 7,012.17, 9,675.81 and 4,027.50

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Solution

The fourth proportional to 7,012.17, 9,675.81 and 4,027.50 is: 5,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.17 : 9,675.81 = 4,027.50 : x
  2. Step 2: Convert to fraction form
    7,012.17/9,675.81 = 4,027.50/x
  3. Step 3: Cross multiply
    7,012.17x = 9,675.81 × 4,027.50
  4. Step 4: Simplify right side
    7,012.17x = 38,969,324.78
  5. Step 5: Solve for x
    x = 38,969,324.78/7,012.17
  6. Step 6: Final answer
    x = 5,557.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.