Home / 10,822.24-16,233.60-4,977.28

Finding the Fourth Proportional to 10,822.24, 16,233.60 and 4,977.28

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Solution

The fourth proportional to 10,822.24, 16,233.60 and 4,977.28 is: 7,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.24 : 16,233.60 = 4,977.28 : x
  2. Step 2: Convert to fraction form
    10,822.24/16,233.60 = 4,977.28/x
  3. Step 3: Cross multiply
    10,822.24x = 16,233.60 × 4,977.28
  4. Step 4: Simplify right side
    10,822.24x = 80,799,172.61
  5. Step 5: Solve for x
    x = 80,799,172.61/10,822.24
  6. Step 6: Final answer
    x = 7,466.03

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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.