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Finding the Fourth Proportional to 8,456.76, 11,671.19 and 4,871.83

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Solution

The fourth proportional to 8,456.76, 11,671.19 and 4,871.83 is: 6,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.76 : 11,671.19 = 4,871.83 : x
  2. Step 2: Convert to fraction form
    8,456.76/11,671.19 = 4,871.83/x
  3. Step 3: Cross multiply
    8,456.76x = 11,671.19 × 4,871.83
  4. Step 4: Simplify right side
    8,456.76x = 56,860,053.58
  5. Step 5: Solve for x
    x = 56,860,053.58/8,456.76
  6. Step 6: Final answer
    x = 6,723.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.