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Finding the Fourth Proportional to 10,767.36, 14,861.89 and 6,990.32

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Solution

The fourth proportional to 10,767.36, 14,861.89 and 6,990.32 is: 9,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.36 : 14,861.89 = 6,990.32 : x
  2. Step 2: Convert to fraction form
    10,767.36/14,861.89 = 6,990.32/x
  3. Step 3: Cross multiply
    10,767.36x = 14,861.89 × 6,990.32
  4. Step 4: Simplify right side
    10,767.36x = 103,889,366.90
  5. Step 5: Solve for x
    x = 103,889,366.90/10,767.36
  6. Step 6: Final answer
    x = 9,648.55

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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.