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Finding the Fourth Proportional to 10,657.44, 14,706.97 and 6,680.75

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Solution

The fourth proportional to 10,657.44, 14,706.97 and 6,680.75 is: 9,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.44 : 14,706.97 = 6,680.75 : x
  2. Step 2: Convert to fraction form
    10,657.44/14,706.97 = 6,680.75/x
  3. Step 3: Cross multiply
    10,657.44x = 14,706.97 × 6,680.75
  4. Step 4: Simplify right side
    10,657.44x = 98,253,499.59
  5. Step 5: Solve for x
    x = 98,253,499.59/10,657.44
  6. Step 6: Final answer
    x = 9,219.24

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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.