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Finding the Fourth Proportional to 10,812.88, 14,930.22 and 8,461.72

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Solution

The fourth proportional to 10,812.88, 14,930.22 and 8,461.72 is: 11,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.88 : 14,930.22 = 8,461.72 : x
  2. Step 2: Convert to fraction form
    10,812.88/14,930.22 = 8,461.72/x
  3. Step 3: Cross multiply
    10,812.88x = 14,930.22 × 8,461.72
  4. Step 4: Simplify right side
    10,812.88x = 126,335,341.18
  5. Step 5: Solve for x
    x = 126,335,341.18/10,812.88
  6. Step 6: Final answer
    x = 11,683.78

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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.