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Finding the Fourth Proportional to 7,638.84, 10,542.05 and 4,281.50

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Solution

The fourth proportional to 7,638.84, 10,542.05 and 4,281.50 is: 5,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.84 : 10,542.05 = 4,281.50 : x
  2. Step 2: Convert to fraction form
    7,638.84/10,542.05 = 4,281.50/x
  3. Step 3: Cross multiply
    7,638.84x = 10,542.05 × 4,281.50
  4. Step 4: Simplify right side
    7,638.84x = 45,135,712.96
  5. Step 5: Solve for x
    x = 45,135,712.96/7,638.84
  6. Step 6: Final answer
    x = 5,908.71

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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.