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Finding the Fourth Proportional to 7,729.26, 11,595.54 and 3,112.26

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Solution

The fourth proportional to 7,729.26, 11,595.54 and 3,112.26 is: 4,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.26 : 11,595.54 = 3,112.26 : x
  2. Step 2: Convert to fraction form
    7,729.26/11,595.54 = 3,112.26/x
  3. Step 3: Cross multiply
    7,729.26x = 11,595.54 × 3,112.26
  4. Step 4: Simplify right side
    7,729.26x = 36,088,335.32
  5. Step 5: Solve for x
    x = 36,088,335.32/7,729.26
  6. Step 6: Final answer
    x = 4,669.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.