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Finding the Fourth Proportional to 10,871.85, 14,996.82 and 6,155.22

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Solution

The fourth proportional to 10,871.85, 14,996.82 and 6,155.22 is: 8,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.85 : 14,996.82 = 6,155.22 : x
  2. Step 2: Convert to fraction form
    10,871.85/14,996.82 = 6,155.22/x
  3. Step 3: Cross multiply
    10,871.85x = 14,996.82 × 6,155.22
  4. Step 4: Simplify right side
    10,871.85x = 92,308,726.40
  5. Step 5: Solve for x
    x = 92,308,726.40/10,871.85
  6. Step 6: Final answer
    x = 8,490.62

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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.