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Finding the Fourth Proportional to 7,864.68, 11,794.70 and 2,317.90

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Solution

The fourth proportional to 7,864.68, 11,794.70 and 2,317.90 is: 3,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.68 : 11,794.70 = 2,317.90 : x
  2. Step 2: Convert to fraction form
    7,864.68/11,794.70 = 2,317.90/x
  3. Step 3: Cross multiply
    7,864.68x = 11,794.70 × 2,317.90
  4. Step 4: Simplify right side
    7,864.68x = 27,338,935.13
  5. Step 5: Solve for x
    x = 27,338,935.13/7,864.68
  6. Step 6: Final answer
    x = 3,476.17

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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.