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Finding the Fourth Proportional to 7,864.52, 11,792.69 and 2,317.13

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Solution

The fourth proportional to 7,864.52, 11,792.69 and 2,317.13 is: 3,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.52 : 11,792.69 = 2,317.13 : x
  2. Step 2: Convert to fraction form
    7,864.52/11,792.69 = 2,317.13/x
  3. Step 3: Cross multiply
    7,864.52x = 11,792.69 × 2,317.13
  4. Step 4: Simplify right side
    7,864.52x = 27,325,184.19
  5. Step 5: Solve for x
    x = 27,325,184.19/7,864.52
  6. Step 6: Final answer
    x = 3,474.49

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Why These Related Problems?

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