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Finding the Fourth Proportional to 8,211.84, 11,320.52 and 5,849.88

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Solution

The fourth proportional to 8,211.84, 11,320.52 and 5,849.88 is: 8,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.84 : 11,320.52 = 5,849.88 : x
  2. Step 2: Convert to fraction form
    8,211.84/11,320.52 = 5,849.88/x
  3. Step 3: Cross multiply
    8,211.84x = 11,320.52 × 5,849.88
  4. Step 4: Simplify right side
    8,211.84x = 66,223,683.54
  5. Step 5: Solve for x
    x = 66,223,683.54/8,211.84
  6. Step 6: Final answer
    x = 8,064.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.