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Finding the Fourth Proportional to 10,812.26, 14,929.36 and 8,461.10

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Solution

The fourth proportional to 10,812.26, 14,929.36 and 8,461.10 is: 11,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.26 : 14,929.36 = 8,461.10 : x
  2. Step 2: Convert to fraction form
    10,812.26/14,929.36 = 8,461.10/x
  3. Step 3: Cross multiply
    10,812.26x = 14,929.36 × 8,461.10
  4. Step 4: Simplify right side
    10,812.26x = 126,318,712.10
  5. Step 5: Solve for x
    x = 126,318,712.10/10,812.26
  6. Step 6: Final answer
    x = 11,682.92

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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.