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Finding the Fourth Proportional to 11,722.50, 17,583.93 and 3,514.50

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Solution

The fourth proportional to 11,722.50, 17,583.93 and 3,514.50 is: 5,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.50 : 17,583.93 = 3,514.50 : x
  2. Step 2: Convert to fraction form
    11,722.50/17,583.93 = 3,514.50/x
  3. Step 3: Cross multiply
    11,722.50x = 17,583.93 × 3,514.50
  4. Step 4: Simplify right side
    11,722.50x = 61,798,721.99
  5. Step 5: Solve for x
    x = 61,798,721.99/11,722.50
  6. Step 6: Final answer
    x = 5,271.80

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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.