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Finding the Fourth Proportional to 10,795.54, 16,164.48 and 6,349.49

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Solution

The fourth proportional to 10,795.54, 16,164.48 and 6,349.49 is: 9,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.54 : 16,164.48 = 6,349.49 : x
  2. Step 2: Convert to fraction form
    10,795.54/16,164.48 = 6,349.49/x
  3. Step 3: Cross multiply
    10,795.54x = 16,164.48 × 6,349.49
  4. Step 4: Simplify right side
    10,795.54x = 102,636,204.12
  5. Step 5: Solve for x
    x = 102,636,204.12/10,795.54
  6. Step 6: Final answer
    x = 9,507.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.