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Finding the Fourth Proportional to 11,005.74, 15,187.79 and 5,969.86

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Solution

The fourth proportional to 11,005.74, 15,187.79 and 5,969.86 is: 8,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.74 : 15,187.79 = 5,969.86 : x
  2. Step 2: Convert to fraction form
    11,005.74/15,187.79 = 5,969.86/x
  3. Step 3: Cross multiply
    11,005.74x = 15,187.79 × 5,969.86
  4. Step 4: Simplify right side
    11,005.74x = 90,668,950.16
  5. Step 5: Solve for x
    x = 90,668,950.16/11,005.74
  6. Step 6: Final answer
    x = 8,238.34

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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.