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Finding the Fourth Proportional to 11,762.04, 16,231.14 and 7,048.92

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Solution

The fourth proportional to 11,762.04, 16,231.14 and 7,048.92 is: 9,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.04 : 16,231.14 = 7,048.92 : x
  2. Step 2: Convert to fraction form
    11,762.04/16,231.14 = 7,048.92/x
  3. Step 3: Cross multiply
    11,762.04x = 16,231.14 × 7,048.92
  4. Step 4: Simplify right side
    11,762.04x = 114,412,007.37
  5. Step 5: Solve for x
    x = 114,412,007.37/11,762.04
  6. Step 6: Final answer
    x = 9,727.22

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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.