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Finding the Fourth Proportional to 11,774.59, 17,661.83 and 3,009.50

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Solution

The fourth proportional to 11,774.59, 17,661.83 and 3,009.50 is: 4,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.59 : 17,661.83 = 3,009.50 : x
  2. Step 2: Convert to fraction form
    11,774.59/17,661.83 = 3,009.50/x
  3. Step 3: Cross multiply
    11,774.59x = 17,661.83 × 3,009.50
  4. Step 4: Simplify right side
    11,774.59x = 53,153,277.39
  5. Step 5: Solve for x
    x = 53,153,277.39/11,774.59
  6. Step 6: Final answer
    x = 4,514.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.