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Finding the Fourth Proportional to 7,365.14, 10,164.01 and 4,008.09

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Solution

The fourth proportional to 7,365.14, 10,164.01 and 4,008.09 is: 5,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,365.14 : 10,164.01 = 4,008.09 : x
  2. Step 2: Convert to fraction form
    7,365.14/10,164.01 = 4,008.09/x
  3. Step 3: Cross multiply
    7,365.14x = 10,164.01 × 4,008.09
  4. Step 4: Simplify right side
    7,365.14x = 40,738,266.84
  5. Step 5: Solve for x
    x = 40,738,266.84/7,365.14
  6. Step 6: Final answer
    x = 5,531.23

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