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Finding the Fourth Proportional to 10,461.26, 15,694.05 and 3,065.96

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Solution

The fourth proportional to 10,461.26, 15,694.05 and 3,065.96 is: 4,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.26 : 15,694.05 = 3,065.96 : x
  2. Step 2: Convert to fraction form
    10,461.26/15,694.05 = 3,065.96/x
  3. Step 3: Cross multiply
    10,461.26x = 15,694.05 × 3,065.96
  4. Step 4: Simplify right side
    10,461.26x = 48,117,329.54
  5. Step 5: Solve for x
    x = 48,117,329.54/10,461.26
  6. Step 6: Final answer
    x = 4,599.57

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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.