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Finding the Fourth Proportional to 10,736.87, 14,813.84 and 6,960.20

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Solution

The fourth proportional to 10,736.87, 14,813.84 and 6,960.20 is: 9,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.87 : 14,813.84 = 6,960.20 : x
  2. Step 2: Convert to fraction form
    10,736.87/14,813.84 = 6,960.20/x
  3. Step 3: Cross multiply
    10,736.87x = 14,813.84 × 6,960.20
  4. Step 4: Simplify right side
    10,736.87x = 103,107,232.50
  5. Step 5: Solve for x
    x = 103,107,232.50/10,736.87
  6. Step 6: Final answer
    x = 9,603.10

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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.