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Finding the Fourth Proportional to 11,351.40, 15,663.42 and 6,314.61

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Solution

The fourth proportional to 11,351.40, 15,663.42 and 6,314.61 is: 8,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,351.40 : 15,663.42 = 6,314.61 : x
  2. Step 2: Convert to fraction form
    11,351.40/15,663.42 = 6,314.61/x
  3. Step 3: Cross multiply
    11,351.40x = 15,663.42 × 6,314.61
  4. Step 4: Simplify right side
    11,351.40x = 98,908,388.57
  5. Step 5: Solve for x
    x = 98,908,388.57/11,351.40
  6. Step 6: Final answer
    x = 8,713.32

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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.