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Finding the Fourth Proportional to 8,022.68, 11,071.38 and 4,437.46

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Solution

The fourth proportional to 8,022.68, 11,071.38 and 4,437.46 is: 6,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.68 : 11,071.38 = 4,437.46 : x
  2. Step 2: Convert to fraction form
    8,022.68/11,071.38 = 4,437.46/x
  3. Step 3: Cross multiply
    8,022.68x = 11,071.38 × 4,437.46
  4. Step 4: Simplify right side
    8,022.68x = 49,128,805.89
  5. Step 5: Solve for x
    x = 49,128,805.89/8,022.68
  6. Step 6: Final answer
    x = 6,123.74

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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.