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Finding the Fourth Proportional to 11,093.83, 15,314.48 and 7,319.23

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Solution

The fourth proportional to 11,093.83, 15,314.48 and 7,319.23 is: 10,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.83 : 15,314.48 = 7,319.23 : x
  2. Step 2: Convert to fraction form
    11,093.83/15,314.48 = 7,319.23/x
  3. Step 3: Cross multiply
    11,093.83x = 15,314.48 × 7,319.23
  4. Step 4: Simplify right side
    11,093.83x = 112,090,201.45
  5. Step 5: Solve for x
    x = 112,090,201.45/11,093.83
  6. Step 6: Final answer
    x = 10,103.83

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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.