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Finding the Fourth Proportional to 11,658.85, 17,488.27 and 2,893.76

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Solution

The fourth proportional to 11,658.85, 17,488.27 and 2,893.76 is: 4,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.85 : 17,488.27 = 2,893.76 : x
  2. Step 2: Convert to fraction form
    11,658.85/17,488.27 = 2,893.76/x
  3. Step 3: Cross multiply
    11,658.85x = 17,488.27 × 2,893.76
  4. Step 4: Simplify right side
    11,658.85x = 50,606,856.20
  5. Step 5: Solve for x
    x = 50,606,856.20/11,658.85
  6. Step 6: Final answer
    x = 4,340.64

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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.