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Finding the Fourth Proportional to 10,833.76, 16,250.64 and 3,812.12

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Solution

The fourth proportional to 10,833.76, 16,250.64 and 3,812.12 is: 5,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.76 : 16,250.64 = 3,812.12 : x
  2. Step 2: Convert to fraction form
    10,833.76/16,250.64 = 3,812.12/x
  3. Step 3: Cross multiply
    10,833.76x = 16,250.64 × 3,812.12
  4. Step 4: Simplify right side
    10,833.76x = 61,949,389.76
  5. Step 5: Solve for x
    x = 61,949,389.76/10,833.76
  6. Step 6: Final answer
    x = 5,718.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.