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Finding the Fourth Proportional to 11,583.51, 17,359.62 and 8,448.81

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Solution

The fourth proportional to 11,583.51, 17,359.62 and 8,448.81 is: 12,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.51 : 17,359.62 = 8,448.81 : x
  2. Step 2: Convert to fraction form
    11,583.51/17,359.62 = 8,448.81/x
  3. Step 3: Cross multiply
    11,583.51x = 17,359.62 × 8,448.81
  4. Step 4: Simplify right side
    11,583.51x = 146,668,034.27
  5. Step 5: Solve for x
    x = 146,668,034.27/11,583.51
  6. Step 6: Final answer
    x = 12,661.80

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Why These Related Problems?

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