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Finding the Fourth Proportional to 8,411.38, 12,602.72 and 5,941.44

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Solution

The fourth proportional to 8,411.38, 12,602.72 and 5,941.44 is: 8,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.38 : 12,602.72 = 5,941.44 : x
  2. Step 2: Convert to fraction form
    8,411.38/12,602.72 = 5,941.44/x
  3. Step 3: Cross multiply
    8,411.38x = 12,602.72 × 5,941.44
  4. Step 4: Simplify right side
    8,411.38x = 74,878,304.72
  5. Step 5: Solve for x
    x = 74,878,304.72/8,411.38
  6. Step 6: Final answer
    x = 8,902.02

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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.