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Finding the Fourth Proportional to 11,099.38, 15,316.53 and 6,383.74

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Solution

The fourth proportional to 11,099.38, 15,316.53 and 6,383.74 is: 8,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.38 : 15,316.53 = 6,383.74 : x
  2. Step 2: Convert to fraction form
    11,099.38/15,316.53 = 6,383.74/x
  3. Step 3: Cross multiply
    11,099.38x = 15,316.53 × 6,383.74
  4. Step 4: Simplify right side
    11,099.38x = 97,776,745.22
  5. Step 5: Solve for x
    x = 97,776,745.22/11,099.38
  6. Step 6: Final answer
    x = 8,809.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.