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Finding the Fourth Proportional to 11,583.82, 15,985.11 and 7,339.42

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Solution

The fourth proportional to 11,583.82, 15,985.11 and 7,339.42 is: 10,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.82 : 15,985.11 = 7,339.42 : x
  2. Step 2: Convert to fraction form
    11,583.82/15,985.11 = 7,339.42/x
  3. Step 3: Cross multiply
    11,583.82x = 15,985.11 × 7,339.42
  4. Step 4: Simplify right side
    11,583.82x = 117,321,436.04
  5. Step 5: Solve for x
    x = 117,321,436.04/11,583.82
  6. Step 6: Final answer
    x = 10,128.04

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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.