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Finding the Fourth Proportional to 10,372.92, 14,314.80 and 5,657.46

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Solution

The fourth proportional to 10,372.92, 14,314.80 and 5,657.46 is: 7,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.92 : 14,314.80 = 5,657.46 : x
  2. Step 2: Convert to fraction form
    10,372.92/14,314.80 = 5,657.46/x
  3. Step 3: Cross multiply
    10,372.92x = 14,314.80 × 5,657.46
  4. Step 4: Simplify right side
    10,372.92x = 80,985,408.41
  5. Step 5: Solve for x
    x = 80,985,408.41/10,372.92
  6. Step 6: Final answer
    x = 7,807.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.