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Finding the Fourth Proportional to 12,380.91, 17,085.61 and 6,715.64

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Solution

The fourth proportional to 12,380.91, 17,085.61 and 6,715.64 is: 9,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.91 : 17,085.61 = 6,715.64 : x
  2. Step 2: Convert to fraction form
    12,380.91/17,085.61 = 6,715.64/x
  3. Step 3: Cross multiply
    12,380.91x = 17,085.61 × 6,715.64
  4. Step 4: Simplify right side
    12,380.91x = 114,740,805.94
  5. Step 5: Solve for x
    x = 114,740,805.94/12,380.91
  6. Step 6: Final answer
    x = 9,267.56

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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.