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Finding the Fourth Proportional to 10,875.99, 16,315.17 and 3,478.71

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Solution

The fourth proportional to 10,875.99, 16,315.17 and 3,478.71 is: 5,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.99 : 16,315.17 = 3,478.71 : x
  2. Step 2: Convert to fraction form
    10,875.99/16,315.17 = 3,478.71/x
  3. Step 3: Cross multiply
    10,875.99x = 16,315.17 × 3,478.71
  4. Step 4: Simplify right side
    10,875.99x = 56,755,745.03
  5. Step 5: Solve for x
    x = 56,755,745.03/10,875.99
  6. Step 6: Final answer
    x = 5,218.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.