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Finding the Fourth Proportional to 7,636.47, 11,454.72 and 2,089.87

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Solution

The fourth proportional to 7,636.47, 11,454.72 and 2,089.87 is: 3,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.47 : 11,454.72 = 2,089.87 : x
  2. Step 2: Convert to fraction form
    7,636.47/11,454.72 = 2,089.87/x
  3. Step 3: Cross multiply
    7,636.47x = 11,454.72 × 2,089.87
  4. Step 4: Simplify right side
    7,636.47x = 23,938,839.21
  5. Step 5: Solve for x
    x = 23,938,839.21/7,636.47
  6. Step 6: Final answer
    x = 3,134.81

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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.