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Finding the Fourth Proportional to 7,598.22, 11,396.91 and 2,051.74

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Solution

The fourth proportional to 7,598.22, 11,396.91 and 2,051.74 is: 3,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.22 : 11,396.91 = 2,051.74 : x
  2. Step 2: Convert to fraction form
    7,598.22/11,396.91 = 2,051.74/x
  3. Step 3: Cross multiply
    7,598.22x = 11,396.91 × 2,051.74
  4. Step 4: Simplify right side
    7,598.22x = 23,383,496.12
  5. Step 5: Solve for x
    x = 23,383,496.12/7,598.22
  6. Step 6: Final answer
    x = 3,077.50

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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.