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Finding the Fourth Proportional to 12,115.48, 16,715.32 and 6,809.16

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Solution

The fourth proportional to 12,115.48, 16,715.32 and 6,809.16 is: 9,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.48 : 16,715.32 = 6,809.16 : x
  2. Step 2: Convert to fraction form
    12,115.48/16,715.32 = 6,809.16/x
  3. Step 3: Cross multiply
    12,115.48x = 16,715.32 × 6,809.16
  4. Step 4: Simplify right side
    12,115.48x = 113,817,288.33
  5. Step 5: Solve for x
    x = 113,817,288.33/12,115.48
  6. Step 6: Final answer
    x = 9,394.37

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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.