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Finding the Fourth Proportional to 8,821.53, 12,173.85 and 4,843

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Solution

The fourth proportional to 8,821.53, 12,173.85 and 4,843 is: 6,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.53 : 12,173.85 = 4,843 : x
  2. Step 2: Convert to fraction form
    8,821.53/12,173.85 = 4,843/x
  3. Step 3: Cross multiply
    8,821.53x = 12,173.85 × 4,843
  4. Step 4: Simplify right side
    8,821.53x = 58,957,931.34
  5. Step 5: Solve for x
    x = 58,957,931.34/8,821.53
  6. Step 6: Final answer
    x = 6,683.42

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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.