Home / 10,241-14,132.58-5,825

Finding the Fourth Proportional to 10,241, 14,132.58 and 5,825

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Solution

The fourth proportional to 10,241, 14,132.58 and 5,825 is: 8,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241 : 14,132.58 = 5,825 : x
  2. Step 2: Convert to fraction form
    10,241/14,132.58 = 5,825/x
  3. Step 3: Cross multiply
    10,241x = 14,132.58 × 5,825
  4. Step 4: Simplify right side
    10,241x = 82,322,278.50
  5. Step 5: Solve for x
    x = 82,322,278.50/10,241
  6. Step 6: Final answer
    x = 8,038.50

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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.