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Finding the Fourth Proportional to 10,804.75, 16,207.13 and 2,596.75

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Solution

The fourth proportional to 10,804.75, 16,207.13 and 2,596.75 is: 3,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.75 : 16,207.13 = 2,596.75 : x
  2. Step 2: Convert to fraction form
    10,804.75/16,207.13 = 2,596.75/x
  3. Step 3: Cross multiply
    10,804.75x = 16,207.13 × 2,596.75
  4. Step 4: Simplify right side
    10,804.75x = 42,085,864.83
  5. Step 5: Solve for x
    x = 42,085,864.83/10,804.75
  6. Step 6: Final answer
    x = 3,895.13

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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.