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Finding the Fourth Proportional to 10,505.84, 15,759.64 and 2,714.80

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Solution

The fourth proportional to 10,505.84, 15,759.64 and 2,714.80 is: 4,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.84 : 15,759.64 = 2,714.80 : x
  2. Step 2: Convert to fraction form
    10,505.84/15,759.64 = 2,714.80/x
  3. Step 3: Cross multiply
    10,505.84x = 15,759.64 × 2,714.80
  4. Step 4: Simplify right side
    10,505.84x = 42,784,270.67
  5. Step 5: Solve for x
    x = 42,784,270.67/10,505.84
  6. Step 6: Final answer
    x = 4,072.43

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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.