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Finding the Fourth Proportional to 11,558.38, 15,950.97 and 6,522.31

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Solution

The fourth proportional to 11,558.38, 15,950.97 and 6,522.31 is: 9,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.38 : 15,950.97 = 6,522.31 : x
  2. Step 2: Convert to fraction form
    11,558.38/15,950.97 = 6,522.31/x
  3. Step 3: Cross multiply
    11,558.38x = 15,950.97 × 6,522.31
  4. Step 4: Simplify right side
    11,558.38x = 104,037,131.26
  5. Step 5: Solve for x
    x = 104,037,131.26/11,558.38
  6. Step 6: Final answer
    x = 9,001.02

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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.