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Finding the Fourth Proportional to 10,544.68, 15,817.95 and 2,753.50

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Solution

The fourth proportional to 10,544.68, 15,817.95 and 2,753.50 is: 4,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.68 : 15,817.95 = 2,753.50 : x
  2. Step 2: Convert to fraction form
    10,544.68/15,817.95 = 2,753.50/x
  3. Step 3: Cross multiply
    10,544.68x = 15,817.95 × 2,753.50
  4. Step 4: Simplify right side
    10,544.68x = 43,554,725.33
  5. Step 5: Solve for x
    x = 43,554,725.33/10,544.68
  6. Step 6: Final answer
    x = 4,130.49

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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.