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Finding the Fourth Proportional to 11,667.35, 17,508.33 and 7,774.49

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Solution

The fourth proportional to 11,667.35, 17,508.33 and 7,774.49 is: 11,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.35 : 17,508.33 = 7,774.49 : x
  2. Step 2: Convert to fraction form
    11,667.35/17,508.33 = 7,774.49/x
  3. Step 3: Cross multiply
    11,667.35x = 17,508.33 × 7,774.49
  4. Step 4: Simplify right side
    11,667.35x = 136,118,336.50
  5. Step 5: Solve for x
    x = 136,118,336.50/11,667.35
  6. Step 6: Final answer
    x = 11,666.60

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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.