Home / 10,823.16-16,237.18-3,428.06

Finding the Fourth Proportional to 10,823.16, 16,237.18 and 3,428.06

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Solution

The fourth proportional to 10,823.16, 16,237.18 and 3,428.06 is: 5,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.16 : 16,237.18 = 3,428.06 : x
  2. Step 2: Convert to fraction form
    10,823.16/16,237.18 = 3,428.06/x
  3. Step 3: Cross multiply
    10,823.16x = 16,237.18 × 3,428.06
  4. Step 4: Simplify right side
    10,823.16x = 55,662,027.27
  5. Step 5: Solve for x
    x = 55,662,027.27/10,823.16
  6. Step 6: Final answer
    x = 5,142.86

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Why These Related Problems?

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