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Finding the Fourth Proportional to 8,792.50, 12,133.66 and 5,998

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Solution

The fourth proportional to 8,792.50, 12,133.66 and 5,998 is: 8,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,792.50 : 12,133.66 = 5,998 : x
  2. Step 2: Convert to fraction form
    8,792.50/12,133.66 = 5,998/x
  3. Step 3: Cross multiply
    8,792.50x = 12,133.66 × 5,998
  4. Step 4: Simplify right side
    8,792.50x = 72,777,692.68
  5. Step 5: Solve for x
    x = 72,777,692.68/8,792.50
  6. Step 6: Final answer
    x = 8,277.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.