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Finding the Fourth Proportional to 7,801.92, 11,699.28 and 2,606.40

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Solution

The fourth proportional to 7,801.92, 11,699.28 and 2,606.40 is: 3,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.92 : 11,699.28 = 2,606.40 : x
  2. Step 2: Convert to fraction form
    7,801.92/11,699.28 = 2,606.40/x
  3. Step 3: Cross multiply
    7,801.92x = 11,699.28 × 2,606.40
  4. Step 4: Simplify right side
    7,801.92x = 30,493,003.39
  5. Step 5: Solve for x
    x = 30,493,003.39/7,801.92
  6. Step 6: Final answer
    x = 3,908.40

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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.