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Finding the Fourth Proportional to 8,734.38, 12,054.93 and 5,197.74

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Solution

The fourth proportional to 8,734.38, 12,054.93 and 5,197.74 is: 7,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.38 : 12,054.93 = 5,197.74 : x
  2. Step 2: Convert to fraction form
    8,734.38/12,054.93 = 5,197.74/x
  3. Step 3: Cross multiply
    8,734.38x = 12,054.93 × 5,197.74
  4. Step 4: Simplify right side
    8,734.38x = 62,658,391.86
  5. Step 5: Solve for x
    x = 62,658,391.86/8,734.38
  6. Step 6: Final answer
    x = 7,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.