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Finding the Fourth Proportional to 11,368.20, 15,687.59 and 6,332.37

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Solution

The fourth proportional to 11,368.20, 15,687.59 and 6,332.37 is: 8,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,368.20 : 15,687.59 = 6,332.37 : x
  2. Step 2: Convert to fraction form
    11,368.20/15,687.59 = 6,332.37/x
  3. Step 3: Cross multiply
    11,368.20x = 15,687.59 × 6,332.37
  4. Step 4: Simplify right side
    11,368.20x = 99,339,640.12
  5. Step 5: Solve for x
    x = 99,339,640.12/11,368.20
  6. Step 6: Final answer
    x = 8,738.38

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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.