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Finding the Fourth Proportional to 8,170.86, 12,234.41 and 4,877.60

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Solution

The fourth proportional to 8,170.86, 12,234.41 and 4,877.60 is: 7,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.86 : 12,234.41 = 4,877.60 : x
  2. Step 2: Convert to fraction form
    8,170.86/12,234.41 = 4,877.60/x
  3. Step 3: Cross multiply
    8,170.86x = 12,234.41 × 4,877.60
  4. Step 4: Simplify right side
    8,170.86x = 59,674,472.66
  5. Step 5: Solve for x
    x = 59,674,472.66/8,170.86
  6. Step 6: Final answer
    x = 7,303.33

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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.