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Finding the Fourth Proportional to 11,204.57, 15,461.40 and 6,489.16

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Solution

The fourth proportional to 11,204.57, 15,461.40 and 6,489.16 is: 8,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.57 : 15,461.40 = 6,489.16 : x
  2. Step 2: Convert to fraction form
    11,204.57/15,461.40 = 6,489.16/x
  3. Step 3: Cross multiply
    11,204.57x = 15,461.40 × 6,489.16
  4. Step 4: Simplify right side
    11,204.57x = 100,331,421.12
  5. Step 5: Solve for x
    x = 100,331,421.12/11,204.57
  6. Step 6: Final answer
    x = 8,954.51

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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.