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Finding the Fourth Proportional to 8,774.11, 13,130.38 and 7,194.61

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Solution

The fourth proportional to 8,774.11, 13,130.38 and 7,194.61 is: 10,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.11 : 13,130.38 = 7,194.61 : x
  2. Step 2: Convert to fraction form
    8,774.11/13,130.38 = 7,194.61/x
  3. Step 3: Cross multiply
    8,774.11x = 13,130.38 × 7,194.61
  4. Step 4: Simplify right side
    8,774.11x = 94,467,963.25
  5. Step 5: Solve for x
    x = 94,467,963.25/8,774.11
  6. Step 6: Final answer
    x = 10,766.67

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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.