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Finding the Fourth Proportional to 10,875.95, 16,315.97 and 3,478.42

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Solution

The fourth proportional to 10,875.95, 16,315.97 and 3,478.42 is: 5,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.95 : 16,315.97 = 3,478.42 : x
  2. Step 2: Convert to fraction form
    10,875.95/16,315.97 = 3,478.42/x
  3. Step 3: Cross multiply
    10,875.95x = 16,315.97 × 3,478.42
  4. Step 4: Simplify right side
    10,875.95x = 56,753,796.37
  5. Step 5: Solve for x
    x = 56,753,796.37/10,875.95
  6. Step 6: Final answer
    x = 5,218.28

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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.