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Finding the Fourth Proportional to 10,267.84, 15,402.60 and 3,248.34

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Solution

The fourth proportional to 10,267.84, 15,402.60 and 3,248.34 is: 4,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.84 : 15,402.60 = 3,248.34 : x
  2. Step 2: Convert to fraction form
    10,267.84/15,402.60 = 3,248.34/x
  3. Step 3: Cross multiply
    10,267.84x = 15,402.60 × 3,248.34
  4. Step 4: Simplify right side
    10,267.84x = 50,032,881.68
  5. Step 5: Solve for x
    x = 50,032,881.68/10,267.84
  6. Step 6: Final answer
    x = 4,872.78

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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.