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Finding the Fourth Proportional to 11,703.21, 16,151.52 and 6,398.80

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Solution

The fourth proportional to 11,703.21, 16,151.52 and 6,398.80 is: 8,830.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.21 : 16,151.52 = 6,398.80 : x
  2. Step 2: Convert to fraction form
    11,703.21/16,151.52 = 6,398.80/x
  3. Step 3: Cross multiply
    11,703.21x = 16,151.52 × 6,398.80
  4. Step 4: Simplify right side
    11,703.21x = 103,350,346.18
  5. Step 5: Solve for x
    x = 103,350,346.18/11,703.21
  6. Step 6: Final answer
    x = 8,830.94

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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.