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Finding the Fourth Proportional to 10,274.73, 15,398.82 and 4,648.29

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Solution

The fourth proportional to 10,274.73, 15,398.82 and 4,648.29 is: 6,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.73 : 15,398.82 = 4,648.29 : x
  2. Step 2: Convert to fraction form
    10,274.73/15,398.82 = 4,648.29/x
  3. Step 3: Cross multiply
    10,274.73x = 15,398.82 × 4,648.29
  4. Step 4: Simplify right side
    10,274.73x = 71,578,181.02
  5. Step 5: Solve for x
    x = 71,578,181.02/10,274.73
  6. Step 6: Final answer
    x = 6,966.43

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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.