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Finding the Fourth Proportional to 7,358.82, 11,034 and 2,427.12

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Solution

The fourth proportional to 7,358.82, 11,034 and 2,427.12 is: 3,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.82 : 11,034 = 2,427.12 : x
  2. Step 2: Convert to fraction form
    7,358.82/11,034 = 2,427.12/x
  3. Step 3: Cross multiply
    7,358.82x = 11,034 × 2,427.12
  4. Step 4: Simplify right side
    7,358.82x = 26,780,842.08
  5. Step 5: Solve for x
    x = 26,780,842.08/7,358.82
  6. Step 6: Final answer
    x = 3,639.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.