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Finding the Fourth Proportional to 8,385.34, 11,559.57 and 5,859.60

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Solution

The fourth proportional to 8,385.34, 11,559.57 and 5,859.60 is: 8,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.34 : 11,559.57 = 5,859.60 : x
  2. Step 2: Convert to fraction form
    8,385.34/11,559.57 = 5,859.60/x
  3. Step 3: Cross multiply
    8,385.34x = 11,559.57 × 5,859.60
  4. Step 4: Simplify right side
    8,385.34x = 67,734,521.69
  5. Step 5: Solve for x
    x = 67,734,521.69/8,385.34
  6. Step 6: Final answer
    x = 8,077.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.