Home / 7,826.64-11,729-5,625.04

Finding the Fourth Proportional to 7,826.64, 11,729 and 5,625.04

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Solution

The fourth proportional to 7,826.64, 11,729 and 5,625.04 is: 8,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.64 : 11,729 = 5,625.04 : x
  2. Step 2: Convert to fraction form
    7,826.64/11,729 = 5,625.04/x
  3. Step 3: Cross multiply
    7,826.64x = 11,729 × 5,625.04
  4. Step 4: Simplify right side
    7,826.64x = 65,976,094.16
  5. Step 5: Solve for x
    x = 65,976,094.16/7,826.64
  6. Step 6: Final answer
    x = 8,429.68

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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.