Home / 10,822.16-16,213.76-10,064

Finding the Fourth Proportional to 10,822.16, 16,213.76 and 10,064

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Solution

The fourth proportional to 10,822.16, 16,213.76 and 10,064 is: 15,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.16 : 16,213.76 = 10,064 : x
  2. Step 2: Convert to fraction form
    10,822.16/16,213.76 = 10,064/x
  3. Step 3: Cross multiply
    10,822.16x = 16,213.76 × 10,064
  4. Step 4: Simplify right side
    10,822.16x = 163,175,280.64
  5. Step 5: Solve for x
    x = 163,175,280.64/10,822.16
  6. Step 6: Final answer
    x = 15,077.88

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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.