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Finding the Fourth Proportional to 8,038.82, 11,093.28 and 5,684.15

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Solution

The fourth proportional to 8,038.82, 11,093.28 and 5,684.15 is: 7,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.82 : 11,093.28 = 5,684.15 : x
  2. Step 2: Convert to fraction form
    8,038.82/11,093.28 = 5,684.15/x
  3. Step 3: Cross multiply
    8,038.82x = 11,093.28 × 5,684.15
  4. Step 4: Simplify right side
    8,038.82x = 63,055,867.51
  5. Step 5: Solve for x
    x = 63,055,867.51/8,038.82
  6. Step 6: Final answer
    x = 7,843.92

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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.