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Finding the Fourth Proportional to 7,864.02, 11,792.25 and 4,167.99

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Solution

The fourth proportional to 7,864.02, 11,792.25 and 4,167.99 is: 6,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.02 : 11,792.25 = 4,167.99 : x
  2. Step 2: Convert to fraction form
    7,864.02/11,792.25 = 4,167.99/x
  3. Step 3: Cross multiply
    7,864.02x = 11,792.25 × 4,167.99
  4. Step 4: Simplify right side
    7,864.02x = 49,149,980.08
  5. Step 5: Solve for x
    x = 49,149,980.08/7,864.02
  6. Step 6: Final answer
    x = 6,249.98

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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.