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Finding the Fourth Proportional to 7,738.97, 11,601.40 and 2,807.52

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Solution

The fourth proportional to 7,738.97, 11,601.40 and 2,807.52 is: 4,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.97 : 11,601.40 = 2,807.52 : x
  2. Step 2: Convert to fraction form
    7,738.97/11,601.40 = 2,807.52/x
  3. Step 3: Cross multiply
    7,738.97x = 11,601.40 × 2,807.52
  4. Step 4: Simplify right side
    7,738.97x = 32,571,155.51
  5. Step 5: Solve for x
    x = 32,571,155.51/7,738.97
  6. Step 6: Final answer
    x = 4,208.72

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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.