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Finding the Fourth Proportional to 10,696.56, 16,036.17 and 4,461.24

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Solution

The fourth proportional to 10,696.56, 16,036.17 and 4,461.24 is: 6,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.56 : 16,036.17 = 4,461.24 : x
  2. Step 2: Convert to fraction form
    10,696.56/16,036.17 = 4,461.24/x
  3. Step 3: Cross multiply
    10,696.56x = 16,036.17 × 4,461.24
  4. Step 4: Simplify right side
    10,696.56x = 71,541,203.05
  5. Step 5: Solve for x
    x = 71,541,203.05/10,696.56
  6. Step 6: Final answer
    x = 6,688.24

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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.