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Finding the Fourth Proportional to 11,110.14, 15,332.02 and 6,074.42

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Solution

The fourth proportional to 11,110.14, 15,332.02 and 6,074.42 is: 8,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,110.14 : 15,332.02 = 6,074.42 : x
  2. Step 2: Convert to fraction form
    11,110.14/15,332.02 = 6,074.42/x
  3. Step 3: Cross multiply
    11,110.14x = 15,332.02 × 6,074.42
  4. Step 4: Simplify right side
    11,110.14x = 93,133,128.93
  5. Step 5: Solve for x
    x = 93,133,128.93/11,110.14
  6. Step 6: Final answer
    x = 8,382.71

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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.