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Finding the Fourth Proportional to 8,649.96, 11,937.38 and 4,925.16

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Solution

The fourth proportional to 8,649.96, 11,937.38 and 4,925.16 is: 6,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.96 : 11,937.38 = 4,925.16 : x
  2. Step 2: Convert to fraction form
    8,649.96/11,937.38 = 4,925.16/x
  3. Step 3: Cross multiply
    8,649.96x = 11,937.38 × 4,925.16
  4. Step 4: Simplify right side
    8,649.96x = 58,793,506.48
  5. Step 5: Solve for x
    x = 58,793,506.48/8,649.96
  6. Step 6: Final answer
    x = 6,796.97

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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.