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Finding the Fourth Proportional to 11,210.39, 15,470.01 and 6,431.12

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Solution

The fourth proportional to 11,210.39, 15,470.01 and 6,431.12 is: 8,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.39 : 15,470.01 = 6,431.12 : x
  2. Step 2: Convert to fraction form
    11,210.39/15,470.01 = 6,431.12/x
  3. Step 3: Cross multiply
    11,210.39x = 15,470.01 × 6,431.12
  4. Step 4: Simplify right side
    11,210.39x = 99,489,529.39
  5. Step 5: Solve for x
    x = 99,489,529.39/11,210.39
  6. Step 6: Final answer
    x = 8,874.76

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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.