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Finding the Fourth Proportional to 6,592.82, 9,887.64 and 1,911.57

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Solution

The fourth proportional to 6,592.82, 9,887.64 and 1,911.57 is: 2,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.82 : 9,887.64 = 1,911.57 : x
  2. Step 2: Convert to fraction form
    6,592.82/9,887.64 = 1,911.57/x
  3. Step 3: Cross multiply
    6,592.82x = 9,887.64 × 1,911.57
  4. Step 4: Simplify right side
    6,592.82x = 18,900,915.99
  5. Step 5: Solve for x
    x = 18,900,915.99/6,592.82
  6. Step 6: Final answer
    x = 2,866.90

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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.