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Finding the Fourth Proportional to 10,588.54, 15,883.38 and 2,797.14

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Solution

The fourth proportional to 10,588.54, 15,883.38 and 2,797.14 is: 4,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.54 : 15,883.38 = 2,797.14 : x
  2. Step 2: Convert to fraction form
    10,588.54/15,883.38 = 2,797.14/x
  3. Step 3: Cross multiply
    10,588.54x = 15,883.38 × 2,797.14
  4. Step 4: Simplify right side
    10,588.54x = 44,428,037.53
  5. Step 5: Solve for x
    x = 44,428,037.53/10,588.54
  6. Step 6: Final answer
    x = 4,195.86

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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.