Home / 10,823.28-16,223.04-7,070.43

Finding the Fourth Proportional to 10,823.28, 16,223.04 and 7,070.43

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Solution

The fourth proportional to 10,823.28, 16,223.04 and 7,070.43 is: 10,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.28 : 16,223.04 = 7,070.43 : x
  2. Step 2: Convert to fraction form
    10,823.28/16,223.04 = 7,070.43/x
  3. Step 3: Cross multiply
    10,823.28x = 16,223.04 × 7,070.43
  4. Step 4: Simplify right side
    10,823.28x = 114,703,868.71
  5. Step 5: Solve for x
    x = 114,703,868.71/10,823.28
  6. Step 6: Final answer
    x = 10,597.88

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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.