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Finding the Fourth Proportional to 7,797.22, 11,699.07 and 3,417.82

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Solution

The fourth proportional to 7,797.22, 11,699.07 and 3,417.82 is: 5,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.22 : 11,699.07 = 3,417.82 : x
  2. Step 2: Convert to fraction form
    7,797.22/11,699.07 = 3,417.82/x
  3. Step 3: Cross multiply
    7,797.22x = 11,699.07 × 3,417.82
  4. Step 4: Simplify right side
    7,797.22x = 39,985,315.43
  5. Step 5: Solve for x
    x = 39,985,315.43/7,797.22
  6. Step 6: Final answer
    x = 5,128.15

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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.