Home / 10,825.12-16,235.85-3,032.14

Finding the Fourth Proportional to 10,825.12, 16,235.85 and 3,032.14

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Solution

The fourth proportional to 10,825.12, 16,235.85 and 3,032.14 is: 4,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.12 : 16,235.85 = 3,032.14 : x
  2. Step 2: Convert to fraction form
    10,825.12/16,235.85 = 3,032.14/x
  3. Step 3: Cross multiply
    10,825.12x = 16,235.85 × 3,032.14
  4. Step 4: Simplify right side
    10,825.12x = 49,229,370.22
  5. Step 5: Solve for x
    x = 49,229,370.22/10,825.12
  6. Step 6: Final answer
    x = 4,547.70

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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.