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Finding the Fourth Proportional to 11,462.70, 17,192.16 and 3,670.50

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Solution

The fourth proportional to 11,462.70, 17,192.16 and 3,670.50 is: 5,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.70 : 17,192.16 = 3,670.50 : x
  2. Step 2: Convert to fraction form
    11,462.70/17,192.16 = 3,670.50/x
  3. Step 3: Cross multiply
    11,462.70x = 17,192.16 × 3,670.50
  4. Step 4: Simplify right side
    11,462.70x = 63,103,823.28
  5. Step 5: Solve for x
    x = 63,103,823.28/11,462.70
  6. Step 6: Final answer
    x = 5,505.14

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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.