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Finding the Fourth Proportional to 8,237.76, 12,355.29 and 2,392.98

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Solution

The fourth proportional to 8,237.76, 12,355.29 and 2,392.98 is: 3,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.76 : 12,355.29 = 2,392.98 : x
  2. Step 2: Convert to fraction form
    8,237.76/12,355.29 = 2,392.98/x
  3. Step 3: Cross multiply
    8,237.76x = 12,355.29 × 2,392.98
  4. Step 4: Simplify right side
    8,237.76x = 29,565,961.86
  5. Step 5: Solve for x
    x = 29,565,961.86/8,237.76
  6. Step 6: Final answer
    x = 3,589.08

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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.