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Finding the Fourth Proportional to 11,583.30, 17,375.31 and 5,009.67

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Solution

The fourth proportional to 11,583.30, 17,375.31 and 5,009.67 is: 7,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.30 : 17,375.31 = 5,009.67 : x
  2. Step 2: Convert to fraction form
    11,583.30/17,375.31 = 5,009.67/x
  3. Step 3: Cross multiply
    11,583.30x = 17,375.31 × 5,009.67
  4. Step 4: Simplify right side
    11,583.30x = 87,044,569.25
  5. Step 5: Solve for x
    x = 87,044,569.25/11,583.30
  6. Step 6: Final answer
    x = 7,514.66

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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.