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Finding the Fourth Proportional to 10,406.68, 15,610.13 and 3,011.21

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Solution

The fourth proportional to 10,406.68, 15,610.13 and 3,011.21 is: 4,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.68 : 15,610.13 = 3,011.21 : x
  2. Step 2: Convert to fraction form
    10,406.68/15,610.13 = 3,011.21/x
  3. Step 3: Cross multiply
    10,406.68x = 15,610.13 × 3,011.21
  4. Step 4: Simplify right side
    10,406.68x = 47,005,379.56
  5. Step 5: Solve for x
    x = 47,005,379.56/10,406.68
  6. Step 6: Final answer
    x = 4,516.85

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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.