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Finding the Fourth Proportional to 10,102.78, 15,154.22 and 3,528.98

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Solution

The fourth proportional to 10,102.78, 15,154.22 and 3,528.98 is: 5,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.78 : 15,154.22 = 3,528.98 : x
  2. Step 2: Convert to fraction form
    10,102.78/15,154.22 = 3,528.98/x
  3. Step 3: Cross multiply
    10,102.78x = 15,154.22 × 3,528.98
  4. Step 4: Simplify right side
    10,102.78x = 53,478,939.30
  5. Step 5: Solve for x
    x = 53,478,939.30/10,102.78
  6. Step 6: Final answer
    x = 5,293.49

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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.