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Finding the Fourth Proportional to 7,638.68, 11,459.79 and 2,444.55

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Solution

The fourth proportional to 7,638.68, 11,459.79 and 2,444.55 is: 3,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.68 : 11,459.79 = 2,444.55 : x
  2. Step 2: Convert to fraction form
    7,638.68/11,459.79 = 2,444.55/x
  3. Step 3: Cross multiply
    7,638.68x = 11,459.79 × 2,444.55
  4. Step 4: Simplify right side
    7,638.68x = 28,014,029.64
  5. Step 5: Solve for x
    x = 28,014,029.64/7,638.68
  6. Step 6: Final answer
    x = 3,667.39

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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.