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Finding the Fourth Proportional to 7,834.09, 11,750.98 and 1,911

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Solution

The fourth proportional to 7,834.09, 11,750.98 and 1,911 is: 2,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.09 : 11,750.98 = 1,911 : x
  2. Step 2: Convert to fraction form
    7,834.09/11,750.98 = 1,911/x
  3. Step 3: Cross multiply
    7,834.09x = 11,750.98 × 1,911
  4. Step 4: Simplify right side
    7,834.09x = 22,456,122.78
  5. Step 5: Solve for x
    x = 22,456,122.78/7,834.09
  6. Step 6: Final answer
    x = 2,866.46

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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.