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Finding the Fourth Proportional to 8,558.28, 11,842.83 and 7,297.38

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Solution

The fourth proportional to 8,558.28, 11,842.83 and 7,297.38 is: 10,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,558.28 : 11,842.83 = 7,297.38 : x
  2. Step 2: Convert to fraction form
    8,558.28/11,842.83 = 7,297.38/x
  3. Step 3: Cross multiply
    8,558.28x = 11,842.83 × 7,297.38
  4. Step 4: Simplify right side
    8,558.28x = 86,421,630.79
  5. Step 5: Solve for x
    x = 86,421,630.79/8,558.28
  6. Step 6: Final answer
    x = 10,098.01

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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.