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Finding the Fourth Proportional to 11,457.85, 17,186.78 and 8,541.85

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Solution

The fourth proportional to 11,457.85, 17,186.78 and 8,541.85 is: 12,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.85 : 17,186.78 = 8,541.85 : x
  2. Step 2: Convert to fraction form
    11,457.85/17,186.78 = 8,541.85/x
  3. Step 3: Cross multiply
    11,457.85x = 17,186.78 × 8,541.85
  4. Step 4: Simplify right side
    11,457.85x = 146,806,854.03
  5. Step 5: Solve for x
    x = 146,806,854.03/11,457.85
  6. Step 6: Final answer
    x = 12,812.78

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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.