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Finding the Fourth Proportional to 11,570.42, 17,337.46 and 8,944.36

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Solution

The fourth proportional to 11,570.42, 17,337.46 and 8,944.36 is: 13,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.42 : 17,337.46 = 8,944.36 : x
  2. Step 2: Convert to fraction form
    11,570.42/17,337.46 = 8,944.36/x
  3. Step 3: Cross multiply
    11,570.42x = 17,337.46 × 8,944.36
  4. Step 4: Simplify right side
    11,570.42x = 155,072,483.73
  5. Step 5: Solve for x
    x = 155,072,483.73/11,570.42
  6. Step 6: Final answer
    x = 13,402.49

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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.