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Finding the Fourth Proportional to 8,534.01, 12,792.33 and 3,267.66

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Solution

The fourth proportional to 8,534.01, 12,792.33 and 3,267.66 is: 4,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.01 : 12,792.33 = 3,267.66 : x
  2. Step 2: Convert to fraction form
    8,534.01/12,792.33 = 3,267.66/x
  3. Step 3: Cross multiply
    8,534.01x = 12,792.33 × 3,267.66
  4. Step 4: Simplify right side
    8,534.01x = 41,800,961.06
  5. Step 5: Solve for x
    x = 41,800,961.06/8,534.01
  6. Step 6: Final answer
    x = 4,898.16

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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.