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Finding the Fourth Proportional to 10,608.12, 15,914.22 and 4,033.79

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Solution

The fourth proportional to 10,608.12, 15,914.22 and 4,033.79 is: 6,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,608.12 : 15,914.22 = 4,033.79 : x
  2. Step 2: Convert to fraction form
    10,608.12/15,914.22 = 4,033.79/x
  3. Step 3: Cross multiply
    10,608.12x = 15,914.22 × 4,033.79
  4. Step 4: Simplify right side
    10,608.12x = 64,194,541.92
  5. Step 5: Solve for x
    x = 64,194,541.92/10,608.12
  6. Step 6: Final answer
    x = 6,051.45

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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.