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Finding the Fourth Proportional to 10,657.26, 14,716.31 and 6,685.20

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Solution

The fourth proportional to 10,657.26, 14,716.31 and 6,685.20 is: 9,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.26 : 14,716.31 = 6,685.20 : x
  2. Step 2: Convert to fraction form
    10,657.26/14,716.31 = 6,685.20/x
  3. Step 3: Cross multiply
    10,657.26x = 14,716.31 × 6,685.20
  4. Step 4: Simplify right side
    10,657.26x = 98,381,442.19
  5. Step 5: Solve for x
    x = 98,381,442.19/10,657.26
  6. Step 6: Final answer
    x = 9,231.40

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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.