Home / 10,723.86-16,074-5,173.29

Finding the Fourth Proportional to 10,723.86, 16,074 and 5,173.29

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Solution

The fourth proportional to 10,723.86, 16,074 and 5,173.29 is: 7,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,723.86 : 16,074 = 5,173.29 : x
  2. Step 2: Convert to fraction form
    10,723.86/16,074 = 5,173.29/x
  3. Step 3: Cross multiply
    10,723.86x = 16,074 × 5,173.29
  4. Step 4: Simplify right side
    10,723.86x = 83,155,463.46
  5. Step 5: Solve for x
    x = 83,155,463.46/10,723.86
  6. Step 6: Final answer
    x = 7,754.25

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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.