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Finding the Fourth Proportional to 7,036.37, 9,712.11 and 4,382.21

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Solution

The fourth proportional to 7,036.37, 9,712.11 and 4,382.21 is: 6,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.37 : 9,712.11 = 4,382.21 : x
  2. Step 2: Convert to fraction form
    7,036.37/9,712.11 = 4,382.21/x
  3. Step 3: Cross multiply
    7,036.37x = 9,712.11 × 4,382.21
  4. Step 4: Simplify right side
    7,036.37x = 42,560,505.56
  5. Step 5: Solve for x
    x = 42,560,505.56/7,036.37
  6. Step 6: Final answer
    x = 6,048.65

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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.