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Finding the Fourth Proportional to 10,859.65, 16,293.11 and 3,465.16

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Solution

The fourth proportional to 10,859.65, 16,293.11 and 3,465.16 is: 5,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.65 : 16,293.11 = 3,465.16 : x
  2. Step 2: Convert to fraction form
    10,859.65/16,293.11 = 3,465.16/x
  3. Step 3: Cross multiply
    10,859.65x = 16,293.11 × 3,465.16
  4. Step 4: Simplify right side
    10,859.65x = 56,458,233.05
  5. Step 5: Solve for x
    x = 56,458,233.05/10,859.65
  6. Step 6: Final answer
    x = 5,198.90

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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.