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Finding the Fourth Proportional to 10,164.42, 15,228 and 7,035.48

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Solution

The fourth proportional to 10,164.42, 15,228 and 7,035.48 is: 10,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.42 : 15,228 = 7,035.48 : x
  2. Step 2: Convert to fraction form
    10,164.42/15,228 = 7,035.48/x
  3. Step 3: Cross multiply
    10,164.42x = 15,228 × 7,035.48
  4. Step 4: Simplify right side
    10,164.42x = 107,136,289.44
  5. Step 5: Solve for x
    x = 107,136,289.44/10,164.42
  6. Step 6: Final answer
    x = 10,540.32

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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.