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Finding the Fourth Proportional to 7,089.54, 10,634.80 and 2,407.64

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Solution

The fourth proportional to 7,089.54, 10,634.80 and 2,407.64 is: 3,611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.54 : 10,634.80 = 2,407.64 : x
  2. Step 2: Convert to fraction form
    7,089.54/10,634.80 = 2,407.64/x
  3. Step 3: Cross multiply
    7,089.54x = 10,634.80 × 2,407.64
  4. Step 4: Simplify right side
    7,089.54x = 25,604,704.66
  5. Step 5: Solve for x
    x = 25,604,704.66/7,089.54
  6. Step 6: Final answer
    x = 3,611.62

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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.