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Finding the Fourth Proportional to 10,635.14, 15,953.63 and 4,057.74

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Solution

The fourth proportional to 10,635.14, 15,953.63 and 4,057.74 is: 6,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.14 : 15,953.63 = 4,057.74 : x
  2. Step 2: Convert to fraction form
    10,635.14/15,953.63 = 4,057.74/x
  3. Step 3: Cross multiply
    10,635.14x = 15,953.63 × 4,057.74
  4. Step 4: Simplify right side
    10,635.14x = 64,735,662.31
  5. Step 5: Solve for x
    x = 64,735,662.31/10,635.14
  6. Step 6: Final answer
    x = 6,086.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.