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Finding the Fourth Proportional to 8,586.12, 11,835 and 6,064.22

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Solution

The fourth proportional to 8,586.12, 11,835 and 6,064.22 is: 8,358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586.12 : 11,835 = 6,064.22 : x
  2. Step 2: Convert to fraction form
    8,586.12/11,835 = 6,064.22/x
  3. Step 3: Cross multiply
    8,586.12x = 11,835 × 6,064.22
  4. Step 4: Simplify right side
    8,586.12x = 71,770,043.70
  5. Step 5: Solve for x
    x = 71,770,043.70/8,586.12
  6. Step 6: Final answer
    x = 8,358.84

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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.