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Finding the Fourth Proportional to 12,160.52, 18,243.56 and 3,840.50

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Solution

The fourth proportional to 12,160.52, 18,243.56 and 3,840.50 is: 5,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.52 : 18,243.56 = 3,840.50 : x
  2. Step 2: Convert to fraction form
    12,160.52/18,243.56 = 3,840.50/x
  3. Step 3: Cross multiply
    12,160.52x = 18,243.56 × 3,840.50
  4. Step 4: Simplify right side
    12,160.52x = 70,064,281.76
  5. Step 5: Solve for x
    x = 70,064,281.76/12,160.52
  6. Step 6: Final answer
    x = 5,761.62

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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.