Home / 10,014.04-13,820.20-5,822

Finding the Fourth Proportional to 10,014.04, 13,820.20 and 5,822

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Solution

The fourth proportional to 10,014.04, 13,820.20 and 5,822 is: 8,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.04 : 13,820.20 = 5,822 : x
  2. Step 2: Convert to fraction form
    10,014.04/13,820.20 = 5,822/x
  3. Step 3: Cross multiply
    10,014.04x = 13,820.20 × 5,822
  4. Step 4: Simplify right side
    10,014.04x = 80,461,204.40
  5. Step 5: Solve for x
    x = 80,461,204.40/10,014.04
  6. Step 6: Final answer
    x = 8,034.84

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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.