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Finding the Fourth Proportional to 11,978.06, 17,967.10 and 5,566.02

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Solution

The fourth proportional to 11,978.06, 17,967.10 and 5,566.02 is: 8,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.06 : 17,967.10 = 5,566.02 : x
  2. Step 2: Convert to fraction form
    11,978.06/17,967.10 = 5,566.02/x
  3. Step 3: Cross multiply
    11,978.06x = 17,967.10 × 5,566.02
  4. Step 4: Simplify right side
    11,978.06x = 100,005,237.94
  5. Step 5: Solve for x
    x = 100,005,237.94/11,978.06
  6. Step 6: Final answer
    x = 8,349.03

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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.