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Finding the Fourth Proportional to 8,623.68, 11,892.60 and 6,861.12

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Solution

The fourth proportional to 8,623.68, 11,892.60 and 6,861.12 is: 9,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.68 : 11,892.60 = 6,861.12 : x
  2. Step 2: Convert to fraction form
    8,623.68/11,892.60 = 6,861.12/x
  3. Step 3: Cross multiply
    8,623.68x = 11,892.60 × 6,861.12
  4. Step 4: Simplify right side
    8,623.68x = 81,596,555.71
  5. Step 5: Solve for x
    x = 81,596,555.71/8,623.68
  6. Step 6: Final answer
    x = 9,461.92

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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.