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Finding the Fourth Proportional to 7,720.12, 11,580.66 and 3,103

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Solution

The fourth proportional to 7,720.12, 11,580.66 and 3,103 is: 4,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.12 : 11,580.66 = 3,103 : x
  2. Step 2: Convert to fraction form
    7,720.12/11,580.66 = 3,103/x
  3. Step 3: Cross multiply
    7,720.12x = 11,580.66 × 3,103
  4. Step 4: Simplify right side
    7,720.12x = 35,934,787.98
  5. Step 5: Solve for x
    x = 35,934,787.98/7,720.12
  6. Step 6: Final answer
    x = 4,654.69

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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.