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Finding the Fourth Proportional to 7,638.58, 11,459.31 and 3,021.94

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Solution

The fourth proportional to 7,638.58, 11,459.31 and 3,021.94 is: 4,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.58 : 11,459.31 = 3,021.94 : x
  2. Step 2: Convert to fraction form
    7,638.58/11,459.31 = 3,021.94/x
  3. Step 3: Cross multiply
    7,638.58x = 11,459.31 × 3,021.94
  4. Step 4: Simplify right side
    7,638.58x = 34,629,347.26
  5. Step 5: Solve for x
    x = 34,629,347.26/7,638.58
  6. Step 6: Final answer
    x = 4,533.48

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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.