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Finding the Fourth Proportional to 7,728.47, 11,594.87 and 2,537.99

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Solution

The fourth proportional to 7,728.47, 11,594.87 and 2,537.99 is: 3,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.47 : 11,594.87 = 2,537.99 : x
  2. Step 2: Convert to fraction form
    7,728.47/11,594.87 = 2,537.99/x
  3. Step 3: Cross multiply
    7,728.47x = 11,594.87 × 2,537.99
  4. Step 4: Simplify right side
    7,728.47x = 29,427,593.45
  5. Step 5: Solve for x
    x = 29,427,593.45/7,728.47
  6. Step 6: Final answer
    x = 3,807.69

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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.