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Finding the Fourth Proportional to 10,723.21, 14,798.93 and 5,944.32

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Solution

The fourth proportional to 10,723.21, 14,798.93 and 5,944.32 is: 8,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.21 : 14,798.93 = 5,944.32 : x
  2. Step 2: Convert to fraction form
    10,723.21/14,798.93 = 5,944.32/x
  3. Step 3: Cross multiply
    10,723.21x = 14,798.93 × 5,944.32
  4. Step 4: Simplify right side
    10,723.21x = 87,969,545.86
  5. Step 5: Solve for x
    x = 87,969,545.86/10,723.21
  6. Step 6: Final answer
    x = 8,203.66

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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.