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Finding the Fourth Proportional to 10,495.78, 15,743.64 and 2,704.54

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Solution

The fourth proportional to 10,495.78, 15,743.64 and 2,704.54 is: 4,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.78 : 15,743.64 = 2,704.54 : x
  2. Step 2: Convert to fraction form
    10,495.78/15,743.64 = 2,704.54/x
  3. Step 3: Cross multiply
    10,495.78x = 15,743.64 × 2,704.54
  4. Step 4: Simplify right side
    10,495.78x = 42,579,304.13
  5. Step 5: Solve for x
    x = 42,579,304.13/10,495.78
  6. Step 6: Final answer
    x = 4,056.80

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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.