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Finding the Fourth Proportional to 10,473.57, 14,453.39 and 5,693.43

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Solution

The fourth proportional to 10,473.57, 14,453.39 and 5,693.43 is: 7,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.57 : 14,453.39 = 5,693.43 : x
  2. Step 2: Convert to fraction form
    10,473.57/14,453.39 = 5,693.43/x
  3. Step 3: Cross multiply
    10,473.57x = 14,453.39 × 5,693.43
  4. Step 4: Simplify right side
    10,473.57x = 82,289,426.50
  5. Step 5: Solve for x
    x = 82,289,426.50/10,473.57
  6. Step 6: Final answer
    x = 7,856.87

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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.