Home / 10,017.04-13,824.38-5,825

Finding the Fourth Proportional to 10,017.04, 13,824.38 and 5,825

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Solution

The fourth proportional to 10,017.04, 13,824.38 and 5,825 is: 8,039.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.04 : 13,824.38 = 5,825 : x
  2. Step 2: Convert to fraction form
    10,017.04/13,824.38 = 5,825/x
  3. Step 3: Cross multiply
    10,017.04x = 13,824.38 × 5,825
  4. Step 4: Simplify right side
    10,017.04x = 80,527,013.50
  5. Step 5: Solve for x
    x = 80,527,013.50/10,017.04
  6. Step 6: Final answer
    x = 8,039.00

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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.