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Finding the Fourth Proportional to 7,740.96, 11,616.47 and 2,810.18

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Solution

The fourth proportional to 7,740.96, 11,616.47 and 2,810.18 is: 4,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.96 : 11,616.47 = 2,810.18 : x
  2. Step 2: Convert to fraction form
    7,740.96/11,616.47 = 2,810.18/x
  3. Step 3: Cross multiply
    7,740.96x = 11,616.47 × 2,810.18
  4. Step 4: Simplify right side
    7,740.96x = 32,644,299.53
  5. Step 5: Solve for x
    x = 32,644,299.53/7,740.96
  6. Step 6: Final answer
    x = 4,217.09

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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.