Home / 7,823.16-11,733.71-2,825.02

Finding the Fourth Proportional to 7,823.16, 11,733.71 and 2,825.02

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Solution

The fourth proportional to 7,823.16, 11,733.71 and 2,825.02 is: 4,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.16 : 11,733.71 = 2,825.02 : x
  2. Step 2: Convert to fraction form
    7,823.16/11,733.71 = 2,825.02/x
  3. Step 3: Cross multiply
    7,823.16x = 11,733.71 × 2,825.02
  4. Step 4: Simplify right side
    7,823.16x = 33,147,921.96
  5. Step 5: Solve for x
    x = 33,147,921.96/7,823.16
  6. Step 6: Final answer
    x = 4,237.15

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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.