Home / 7,822.90-11,734.38-2,276.26

Finding the Fourth Proportional to 7,822.90, 11,734.38 and 2,276.26

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Solution

The fourth proportional to 7,822.90, 11,734.38 and 2,276.26 is: 3,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.90 : 11,734.38 = 2,276.26 : x
  2. Step 2: Convert to fraction form
    7,822.90/11,734.38 = 2,276.26/x
  3. Step 3: Cross multiply
    7,822.90x = 11,734.38 × 2,276.26
  4. Step 4: Simplify right side
    7,822.90x = 26,710,499.82
  5. Step 5: Solve for x
    x = 26,710,499.82/7,822.90
  6. Step 6: Final answer
    x = 3,414.40

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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.