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Finding the Fourth Proportional to 10,408.92, 14,364.54 and 5,693.20

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Solution

The fourth proportional to 10,408.92, 14,364.54 and 5,693.20 is: 7,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.92 : 14,364.54 = 5,693.20 : x
  2. Step 2: Convert to fraction form
    10,408.92/14,364.54 = 5,693.20/x
  3. Step 3: Cross multiply
    10,408.92x = 14,364.54 × 5,693.20
  4. Step 4: Simplify right side
    10,408.92x = 81,780,244.02
  5. Step 5: Solve for x
    x = 81,780,244.02/10,408.92
  6. Step 6: Final answer
    x = 7,856.74

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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.