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Finding the Fourth Proportional to 11,750.86, 16,217.21 and 6,446.71

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Solution

The fourth proportional to 11,750.86, 16,217.21 and 6,446.71 is: 8,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.86 : 16,217.21 = 6,446.71 : x
  2. Step 2: Convert to fraction form
    11,750.86/16,217.21 = 6,446.71/x
  3. Step 3: Cross multiply
    11,750.86x = 16,217.21 × 6,446.71
  4. Step 4: Simplify right side
    11,750.86x = 104,547,649.88
  5. Step 5: Solve for x
    x = 104,547,649.88/11,750.86
  6. Step 6: Final answer
    x = 8,897.02

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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.