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Finding the Fourth Proportional to 7,638.94, 10,542.18 and 4,282.86

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Solution

The fourth proportional to 7,638.94, 10,542.18 and 4,282.86 is: 5,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.94 : 10,542.18 = 4,282.86 : x
  2. Step 2: Convert to fraction form
    7,638.94/10,542.18 = 4,282.86/x
  3. Step 3: Cross multiply
    7,638.94x = 10,542.18 × 4,282.86
  4. Step 4: Simplify right side
    7,638.94x = 45,150,681.03
  5. Step 5: Solve for x
    x = 45,150,681.03/7,638.94
  6. Step 6: Final answer
    x = 5,910.60

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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.