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Finding the Fourth Proportional to 7,701.68, 11,553.95 and 2,438.02

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Solution

The fourth proportional to 7,701.68, 11,553.95 and 2,438.02 is: 3,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.68 : 11,553.95 = 2,438.02 : x
  2. Step 2: Convert to fraction form
    7,701.68/11,553.95 = 2,438.02/x
  3. Step 3: Cross multiply
    7,701.68x = 11,553.95 × 2,438.02
  4. Step 4: Simplify right side
    7,701.68x = 28,168,781.72
  5. Step 5: Solve for x
    x = 28,168,781.72/7,701.68
  6. Step 6: Final answer
    x = 3,657.48

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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.