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Finding the Fourth Proportional to 10,417.48, 14,375.77 and 5,942.68

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Solution

The fourth proportional to 10,417.48, 14,375.77 and 5,942.68 is: 8,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.48 : 14,375.77 = 5,942.68 : x
  2. Step 2: Convert to fraction form
    10,417.48/14,375.77 = 5,942.68/x
  3. Step 3: Cross multiply
    10,417.48x = 14,375.77 × 5,942.68
  4. Step 4: Simplify right side
    10,417.48x = 85,430,600.86
  5. Step 5: Solve for x
    x = 85,430,600.86/10,417.48
  6. Step 6: Final answer
    x = 8,200.70

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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.