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Finding the Fourth Proportional to 10,720.14, 16,065.57 and 8,085.42

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Solution

The fourth proportional to 10,720.14, 16,065.57 and 8,085.42 is: 12,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.14 : 16,065.57 = 8,085.42 : x
  2. Step 2: Convert to fraction form
    10,720.14/16,065.57 = 8,085.42/x
  3. Step 3: Cross multiply
    10,720.14x = 16,065.57 × 8,085.42
  4. Step 4: Simplify right side
    10,720.14x = 129,896,880.99
  5. Step 5: Solve for x
    x = 129,896,880.99/10,720.14
  6. Step 6: Final answer
    x = 12,117.09

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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.