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Finding the Fourth Proportional to 10,644.44, 15,966.64 and 2,853.44

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Solution

The fourth proportional to 10,644.44, 15,966.64 and 2,853.44 is: 4,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.44 : 15,966.64 = 2,853.44 : x
  2. Step 2: Convert to fraction form
    10,644.44/15,966.64 = 2,853.44/x
  3. Step 3: Cross multiply
    10,644.44x = 15,966.64 × 2,853.44
  4. Step 4: Simplify right side
    10,644.44x = 45,559,849.24
  5. Step 5: Solve for x
    x = 45,559,849.24/10,644.44
  6. Step 6: Final answer
    x = 4,280.15

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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.