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Finding the Fourth Proportional to 8,316.57, 11,461.02 and 5,954.61

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Solution

The fourth proportional to 8,316.57, 11,461.02 and 5,954.61 is: 8,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.57 : 11,461.02 = 5,954.61 : x
  2. Step 2: Convert to fraction form
    8,316.57/11,461.02 = 5,954.61/x
  3. Step 3: Cross multiply
    8,316.57x = 11,461.02 × 5,954.61
  4. Step 4: Simplify right side
    8,316.57x = 68,245,904.30
  5. Step 5: Solve for x
    x = 68,245,904.30/8,316.57
  6. Step 6: Final answer
    x = 8,206.02

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