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Finding the Fourth Proportional to 7,636.41, 11,455.47 and 2,089.53

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Solution

The fourth proportional to 7,636.41, 11,455.47 and 2,089.53 is: 3,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.41 : 11,455.47 = 2,089.53 : x
  2. Step 2: Convert to fraction form
    7,636.41/11,455.47 = 2,089.53/x
  3. Step 3: Cross multiply
    7,636.41x = 11,455.47 × 2,089.53
  4. Step 4: Simplify right side
    7,636.41x = 23,936,548.23
  5. Step 5: Solve for x
    x = 23,936,548.23/7,636.41
  6. Step 6: Final answer
    x = 3,134.53

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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.