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Finding the Fourth Proportional to 11,425.74, 17,140.64 and 4,034.49

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Solution

The fourth proportional to 11,425.74, 17,140.64 and 4,034.49 is: 6,052.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.74 : 17,140.64 = 4,034.49 : x
  2. Step 2: Convert to fraction form
    11,425.74/17,140.64 = 4,034.49/x
  3. Step 3: Cross multiply
    11,425.74x = 17,140.64 × 4,034.49
  4. Step 4: Simplify right side
    11,425.74x = 69,153,720.50
  5. Step 5: Solve for x
    x = 69,153,720.50/11,425.74
  6. Step 6: Final answer
    x = 6,052.45

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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.