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Finding the Fourth Proportional to 10,706.85, 16,065.99 and 4,471.11

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Solution

The fourth proportional to 10,706.85, 16,065.99 and 4,471.11 is: 6,709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.85 : 16,065.99 = 4,471.11 : x
  2. Step 2: Convert to fraction form
    10,706.85/16,065.99 = 4,471.11/x
  3. Step 3: Cross multiply
    10,706.85x = 16,065.99 × 4,471.11
  4. Step 4: Simplify right side
    10,706.85x = 71,832,808.55
  5. Step 5: Solve for x
    x = 71,832,808.55/10,706.85
  6. Step 6: Final answer
    x = 6,709.05

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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.