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Finding the Fourth Proportional to 11,570.37, 17,341.84 and 5,325.20

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Solution

The fourth proportional to 11,570.37, 17,341.84 and 5,325.20 is: 7,981.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.37 : 17,341.84 = 5,325.20 : x
  2. Step 2: Convert to fraction form
    11,570.37/17,341.84 = 5,325.20/x
  3. Step 3: Cross multiply
    11,570.37x = 17,341.84 × 5,325.20
  4. Step 4: Simplify right side
    11,570.37x = 92,348,766.37
  5. Step 5: Solve for x
    x = 92,348,766.37/11,570.37
  6. Step 6: Final answer
    x = 7,981.49

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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.