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Finding the Fourth Proportional to 10,228.96, 15,341.72 and 2,834.16

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Solution

The fourth proportional to 10,228.96, 15,341.72 and 2,834.16 is: 4,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.96 : 15,341.72 = 2,834.16 : x
  2. Step 2: Convert to fraction form
    10,228.96/15,341.72 = 2,834.16/x
  3. Step 3: Cross multiply
    10,228.96x = 15,341.72 × 2,834.16
  4. Step 4: Simplify right side
    10,228.96x = 43,480,889.16
  5. Step 5: Solve for x
    x = 43,480,889.16/10,228.96
  6. Step 6: Final answer
    x = 4,250.76

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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.