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Finding the Fourth Proportional to 10,923.42, 15,076.35 and 6,207.42

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Solution

The fourth proportional to 10,923.42, 15,076.35 and 6,207.42 is: 8,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.42 : 15,076.35 = 6,207.42 : x
  2. Step 2: Convert to fraction form
    10,923.42/15,076.35 = 6,207.42/x
  3. Step 3: Cross multiply
    10,923.42x = 15,076.35 × 6,207.42
  4. Step 4: Simplify right side
    10,923.42x = 93,585,236.52
  5. Step 5: Solve for x
    x = 93,585,236.52/10,923.42
  6. Step 6: Final answer
    x = 8,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.