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Finding the Fourth Proportional to 10,361.84, 15,539.68 and 2,966.96

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Solution

The fourth proportional to 10,361.84, 15,539.68 and 2,966.96 is: 4,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.84 : 15,539.68 = 2,966.96 : x
  2. Step 2: Convert to fraction form
    10,361.84/15,539.68 = 2,966.96/x
  3. Step 3: Cross multiply
    10,361.84x = 15,539.68 × 2,966.96
  4. Step 4: Simplify right side
    10,361.84x = 46,105,608.97
  5. Step 5: Solve for x
    x = 46,105,608.97/10,361.84
  6. Step 6: Final answer
    x = 4,449.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.