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Finding the Fourth Proportional to 11,316.44, 16,984.02 and 5,773.88

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Solution

The fourth proportional to 11,316.44, 16,984.02 and 5,773.88 is: 8,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.44 : 16,984.02 = 5,773.88 : x
  2. Step 2: Convert to fraction form
    11,316.44/16,984.02 = 5,773.88/x
  3. Step 3: Cross multiply
    11,316.44x = 16,984.02 × 5,773.88
  4. Step 4: Simplify right side
    11,316.44x = 98,063,693.40
  5. Step 5: Solve for x
    x = 98,063,693.40/11,316.44
  6. Step 6: Final answer
    x = 8,665.60

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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.