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Finding the Fourth Proportional to 8,083.47, 11,155.16 and 4,546.68

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Solution

The fourth proportional to 8,083.47, 11,155.16 and 4,546.68 is: 6,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.47 : 11,155.16 = 4,546.68 : x
  2. Step 2: Convert to fraction form
    8,083.47/11,155.16 = 4,546.68/x
  3. Step 3: Cross multiply
    8,083.47x = 11,155.16 × 4,546.68
  4. Step 4: Simplify right side
    8,083.47x = 50,718,920.14
  5. Step 5: Solve for x
    x = 50,718,920.14/8,083.47
  6. Step 6: Final answer
    x = 6,274.40

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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.