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Finding the Fourth Proportional to 8,219.52, 12,327.96 and 4,058.40

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Solution

The fourth proportional to 8,219.52, 12,327.96 and 4,058.40 is: 6,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.52 : 12,327.96 = 4,058.40 : x
  2. Step 2: Convert to fraction form
    8,219.52/12,327.96 = 4,058.40/x
  3. Step 3: Cross multiply
    8,219.52x = 12,327.96 × 4,058.40
  4. Step 4: Simplify right side
    8,219.52x = 50,031,792.86
  5. Step 5: Solve for x
    x = 50,031,792.86/8,219.52
  6. Step 6: Final answer
    x = 6,086.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.