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Finding the Fourth Proportional to 10,009.36, 14,986.68 and 7,238.80

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Solution

The fourth proportional to 10,009.36, 14,986.68 and 7,238.80 is: 10,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.36 : 14,986.68 = 7,238.80 : x
  2. Step 2: Convert to fraction form
    10,009.36/14,986.68 = 7,238.80/x
  3. Step 3: Cross multiply
    10,009.36x = 14,986.68 × 7,238.80
  4. Step 4: Simplify right side
    10,009.36x = 108,485,579.18
  5. Step 5: Solve for x
    x = 108,485,579.18/10,009.36
  6. Step 6: Final answer
    x = 10,838.41

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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.