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Finding the Fourth Proportional to 10,813.68, 16,201.32 and 7,338.48

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Solution

The fourth proportional to 10,813.68, 16,201.32 and 7,338.48 is: 10,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.68 : 16,201.32 = 7,338.48 : x
  2. Step 2: Convert to fraction form
    10,813.68/16,201.32 = 7,338.48/x
  3. Step 3: Cross multiply
    10,813.68x = 16,201.32 × 7,338.48
  4. Step 4: Simplify right side
    10,813.68x = 118,893,062.79
  5. Step 5: Solve for x
    x = 118,893,062.79/10,813.68
  6. Step 6: Final answer
    x = 10,994.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.