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Finding the Fourth Proportional to 10,737.85, 14,817.88 and 6,022.21

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Solution

The fourth proportional to 10,737.85, 14,817.88 and 6,022.21 is: 8,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.85 : 14,817.88 = 6,022.21 : x
  2. Step 2: Convert to fraction form
    10,737.85/14,817.88 = 6,022.21/x
  3. Step 3: Cross multiply
    10,737.85x = 14,817.88 × 6,022.21
  4. Step 4: Simplify right side
    10,737.85x = 89,236,385.11
  5. Step 5: Solve for x
    x = 89,236,385.11/10,737.85
  6. Step 6: Final answer
    x = 8,310.45

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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.