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Finding the Fourth Proportional to 11,952.72, 16,495.16 and 6,575.39

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Solution

The fourth proportional to 11,952.72, 16,495.16 and 6,575.39 is: 9,074.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.72 : 16,495.16 = 6,575.39 : x
  2. Step 2: Convert to fraction form
    11,952.72/16,495.16 = 6,575.39/x
  3. Step 3: Cross multiply
    11,952.72x = 16,495.16 × 6,575.39
  4. Step 4: Simplify right side
    11,952.72x = 108,462,110.11
  5. Step 5: Solve for x
    x = 108,462,110.11/11,952.72
  6. Step 6: Final answer
    x = 9,074.26

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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.