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Finding the Fourth Proportional to 7,551.42, 10,420.86 and 4,194.12

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Solution

The fourth proportional to 7,551.42, 10,420.86 and 4,194.12 is: 5,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551.42 : 10,420.86 = 4,194.12 : x
  2. Step 2: Convert to fraction form
    7,551.42/10,420.86 = 4,194.12/x
  3. Step 3: Cross multiply
    7,551.42x = 10,420.86 × 4,194.12
  4. Step 4: Simplify right side
    7,551.42x = 43,706,337.34
  5. Step 5: Solve for x
    x = 43,706,337.34/7,551.42
  6. Step 6: Final answer
    x = 5,787.83

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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.