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Finding the Fourth Proportional to 8,078.50, 12,117.74 and 2,235.09

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Solution

The fourth proportional to 8,078.50, 12,117.74 and 2,235.09 is: 3,352.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.50 : 12,117.74 = 2,235.09 : x
  2. Step 2: Convert to fraction form
    8,078.50/12,117.74 = 2,235.09/x
  3. Step 3: Cross multiply
    8,078.50x = 12,117.74 × 2,235.09
  4. Step 4: Simplify right side
    8,078.50x = 27,084,273.76
  5. Step 5: Solve for x
    x = 27,084,273.76/8,078.50
  6. Step 6: Final answer
    x = 3,352.64

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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.