Home / 7,148.24-10,723.08-2,467.64

Finding the Fourth Proportional to 7,148.24, 10,723.08 and 2,467.64

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Solution

The fourth proportional to 7,148.24, 10,723.08 and 2,467.64 is: 3,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.24 : 10,723.08 = 2,467.64 : x
  2. Step 2: Convert to fraction form
    7,148.24/10,723.08 = 2,467.64/x
  3. Step 3: Cross multiply
    7,148.24x = 10,723.08 × 2,467.64
  4. Step 4: Simplify right side
    7,148.24x = 26,460,701.13
  5. Step 5: Solve for x
    x = 26,460,701.13/7,148.24
  6. Step 6: Final answer
    x = 3,701.71

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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.