Home / 10,406.16-14,358.80-5,930

Finding the Fourth Proportional to 10,406.16, 14,358.80 and 5,930

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Solution

The fourth proportional to 10,406.16, 14,358.80 and 5,930 is: 8,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.16 : 14,358.80 = 5,930 : x
  2. Step 2: Convert to fraction form
    10,406.16/14,358.80 = 5,930/x
  3. Step 3: Cross multiply
    10,406.16x = 14,358.80 × 5,930
  4. Step 4: Simplify right side
    10,406.16x = 85,147,684
  5. Step 5: Solve for x
    x = 85,147,684/10,406.16
  6. Step 6: Final answer
    x = 8,182.43

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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.