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Finding the Fourth Proportional to 10,588.58, 15,882.56 and 2,797.46

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Solution

The fourth proportional to 10,588.58, 15,882.56 and 2,797.46 is: 4,196.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.58 : 15,882.56 = 2,797.46 : x
  2. Step 2: Convert to fraction form
    10,588.58/15,882.56 = 2,797.46/x
  3. Step 3: Cross multiply
    10,588.58x = 15,882.56 × 2,797.46
  4. Step 4: Simplify right side
    10,588.58x = 44,430,826.30
  5. Step 5: Solve for x
    x = 44,430,826.30/10,588.58
  6. Step 6: Final answer
    x = 4,196.11

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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.