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Finding the Fourth Proportional to 7,864.50, 11,796.75 and 2,392.50

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Solution

The fourth proportional to 7,864.50, 11,796.75 and 2,392.50 is: 3,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.50 : 11,796.75 = 2,392.50 : x
  2. Step 2: Convert to fraction form
    7,864.50/11,796.75 = 2,392.50/x
  3. Step 3: Cross multiply
    7,864.50x = 11,796.75 × 2,392.50
  4. Step 4: Simplify right side
    7,864.50x = 28,223,724.38
  5. Step 5: Solve for x
    x = 28,223,724.38/7,864.50
  6. Step 6: Final answer
    x = 3,588.75

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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.