Home / 10,022.08-13,829.28-5,829.76

Finding the Fourth Proportional to 10,022.08, 13,829.28 and 5,829.76

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Solution

The fourth proportional to 10,022.08, 13,829.28 and 5,829.76 is: 8,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.08 : 13,829.28 = 5,829.76 : x
  2. Step 2: Convert to fraction form
    10,022.08/13,829.28 = 5,829.76/x
  3. Step 3: Cross multiply
    10,022.08x = 13,829.28 × 5,829.76
  4. Step 4: Simplify right side
    10,022.08x = 80,621,383.37
  5. Step 5: Solve for x
    x = 80,621,383.37/10,022.08
  6. Step 6: Final answer
    x = 8,044.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.