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Finding the Fourth Proportional to 10,303.72, 15,453.41 and 2,906.20

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Solution

The fourth proportional to 10,303.72, 15,453.41 and 2,906.20 is: 4,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.72 : 15,453.41 = 2,906.20 : x
  2. Step 2: Convert to fraction form
    10,303.72/15,453.41 = 2,906.20/x
  3. Step 3: Cross multiply
    10,303.72x = 15,453.41 × 2,906.20
  4. Step 4: Simplify right side
    10,303.72x = 44,910,700.14
  5. Step 5: Solve for x
    x = 44,910,700.14/10,303.72
  6. Step 6: Final answer
    x = 4,358.69

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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.