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Finding the Fourth Proportional to 8,064.34, 12,091.08 and 4,117

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Solution

The fourth proportional to 8,064.34, 12,091.08 and 4,117 is: 6,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.34 : 12,091.08 = 4,117 : x
  2. Step 2: Convert to fraction form
    8,064.34/12,091.08 = 4,117/x
  3. Step 3: Cross multiply
    8,064.34x = 12,091.08 × 4,117
  4. Step 4: Simplify right side
    8,064.34x = 49,778,976.36
  5. Step 5: Solve for x
    x = 49,778,976.36/8,064.34
  6. Step 6: Final answer
    x = 6,172.73

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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.