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Finding the Fourth Proportional to 11,648.24, 16,074.89 and 6,612.68

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Solution

The fourth proportional to 11,648.24, 16,074.89 and 6,612.68 is: 9,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.24 : 16,074.89 = 6,612.68 : x
  2. Step 2: Convert to fraction form
    11,648.24/16,074.89 = 6,612.68/x
  3. Step 3: Cross multiply
    11,648.24x = 16,074.89 × 6,612.68
  4. Step 4: Simplify right side
    11,648.24x = 106,298,103.61
  5. Step 5: Solve for x
    x = 106,298,103.61/11,648.24
  6. Step 6: Final answer
    x = 9,125.68

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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.