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Finding the Fourth Proportional to 10,923.36, 15,074.24 and 6,207.52

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Solution

The fourth proportional to 10,923.36, 15,074.24 and 6,207.52 is: 8,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.36 : 15,074.24 = 6,207.52 : x
  2. Step 2: Convert to fraction form
    10,923.36/15,074.24 = 6,207.52/x
  3. Step 3: Cross multiply
    10,923.36x = 15,074.24 × 6,207.52
  4. Step 4: Simplify right side
    10,923.36x = 93,573,646.28
  5. Step 5: Solve for x
    x = 93,573,646.28/10,923.36
  6. Step 6: Final answer
    x = 8,566.38

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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.