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Finding the Fourth Proportional to 10,612.70, 14,644.36 and 6,135.77

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Solution

The fourth proportional to 10,612.70, 14,644.36 and 6,135.77 is: 8,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.70 : 14,644.36 = 6,135.77 : x
  2. Step 2: Convert to fraction form
    10,612.70/14,644.36 = 6,135.77/x
  3. Step 3: Cross multiply
    10,612.70x = 14,644.36 × 6,135.77
  4. Step 4: Simplify right side
    10,612.70x = 89,854,469.04
  5. Step 5: Solve for x
    x = 89,854,469.04/10,612.70
  6. Step 6: Final answer
    x = 8,466.69

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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.