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Finding the Fourth Proportional to 12,053.90, 18,077.94 and 3,288.86

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Solution

The fourth proportional to 12,053.90, 18,077.94 and 3,288.86 is: 4,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.90 : 18,077.94 = 3,288.86 : x
  2. Step 2: Convert to fraction form
    12,053.90/18,077.94 = 3,288.86/x
  3. Step 3: Cross multiply
    12,053.90x = 18,077.94 × 3,288.86
  4. Step 4: Simplify right side
    12,053.90x = 59,455,813.75
  5. Step 5: Solve for x
    x = 59,455,813.75/12,053.90
  6. Step 6: Final answer
    x = 4,932.50

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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.