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Finding the Fourth Proportional to 8,719, 12,032.22 and 4,993

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Solution

The fourth proportional to 8,719, 12,032.22 and 4,993 is: 6,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719 : 12,032.22 = 4,993 : x
  2. Step 2: Convert to fraction form
    8,719/12,032.22 = 4,993/x
  3. Step 3: Cross multiply
    8,719x = 12,032.22 × 4,993
  4. Step 4: Simplify right side
    8,719x = 60,076,874.46
  5. Step 5: Solve for x
    x = 60,076,874.46/8,719
  6. Step 6: Final answer
    x = 6,890.34

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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.