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Finding the Fourth Proportional to 11,586.47, 17,384.06 and 5,349.47

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Solution

The fourth proportional to 11,586.47, 17,384.06 and 5,349.47 is: 8,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.47 : 17,384.06 = 5,349.47 : x
  2. Step 2: Convert to fraction form
    11,586.47/17,384.06 = 5,349.47/x
  3. Step 3: Cross multiply
    11,586.47x = 17,384.06 × 5,349.47
  4. Step 4: Simplify right side
    11,586.47x = 92,995,507.45
  5. Step 5: Solve for x
    x = 92,995,507.45/11,586.47
  6. Step 6: Final answer
    x = 8,026.22

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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.