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Finding the Fourth Proportional to 10,669.36, 14,736.81 and 7,323.25

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Solution

The fourth proportional to 10,669.36, 14,736.81 and 7,323.25 is: 10,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.36 : 14,736.81 = 7,323.25 : x
  2. Step 2: Convert to fraction form
    10,669.36/14,736.81 = 7,323.25/x
  3. Step 3: Cross multiply
    10,669.36x = 14,736.81 × 7,323.25
  4. Step 4: Simplify right side
    10,669.36x = 107,921,343.83
  5. Step 5: Solve for x
    x = 107,921,343.83/10,669.36
  6. Step 6: Final answer
    x = 10,115.07

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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.