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Finding the Fourth Proportional to 11,835.92, 16,333.65 and 6,458.74

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Solution

The fourth proportional to 11,835.92, 16,333.65 and 6,458.74 is: 8,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.92 : 16,333.65 = 6,458.74 : x
  2. Step 2: Convert to fraction form
    11,835.92/16,333.65 = 6,458.74/x
  3. Step 3: Cross multiply
    11,835.92x = 16,333.65 × 6,458.74
  4. Step 4: Simplify right side
    11,835.92x = 105,494,757.77
  5. Step 5: Solve for x
    x = 105,494,757.77/11,835.92
  6. Step 6: Final answer
    x = 8,913.10

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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.