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Finding the Fourth Proportional to 10,657.91, 14,709.80 and 6,682.43

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Solution

The fourth proportional to 10,657.91, 14,709.80 and 6,682.43 is: 9,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.91 : 14,709.80 = 6,682.43 : x
  2. Step 2: Convert to fraction form
    10,657.91/14,709.80 = 6,682.43/x
  3. Step 3: Cross multiply
    10,657.91x = 14,709.80 × 6,682.43
  4. Step 4: Simplify right side
    10,657.91x = 98,297,208.81
  5. Step 5: Solve for x
    x = 98,297,208.81/10,657.91
  6. Step 6: Final answer
    x = 9,222.93

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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.