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Finding the Fourth Proportional to 11,263.12, 15,544.44 and 6,789.14

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Solution

The fourth proportional to 11,263.12, 15,544.44 and 6,789.14 is: 9,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.12 : 15,544.44 = 6,789.14 : x
  2. Step 2: Convert to fraction form
    11,263.12/15,544.44 = 6,789.14/x
  3. Step 3: Cross multiply
    11,263.12x = 15,544.44 × 6,789.14
  4. Step 4: Simplify right side
    11,263.12x = 105,533,379.38
  5. Step 5: Solve for x
    x = 105,533,379.38/11,263.12
  6. Step 6: Final answer
    x = 9,369.82

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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.