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Finding the Fourth Proportional to 11,548.50, 17,325.63 and 3,340.50

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Solution

The fourth proportional to 11,548.50, 17,325.63 and 3,340.50 is: 5,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.50 : 17,325.63 = 3,340.50 : x
  2. Step 2: Convert to fraction form
    11,548.50/17,325.63 = 3,340.50/x
  3. Step 3: Cross multiply
    11,548.50x = 17,325.63 × 3,340.50
  4. Step 4: Simplify right side
    11,548.50x = 57,876,267.02
  5. Step 5: Solve for x
    x = 57,876,267.02/11,548.50
  6. Step 6: Final answer
    x = 5,011.58

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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.