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Finding the Fourth Proportional to 8,083.77, 11,154.81 and 4,546.71

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Solution

The fourth proportional to 8,083.77, 11,154.81 and 4,546.71 is: 6,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.77 : 11,154.81 = 4,546.71 : x
  2. Step 2: Convert to fraction form
    8,083.77/11,154.81 = 4,546.71/x
  3. Step 3: Cross multiply
    8,083.77x = 11,154.81 × 4,546.71
  4. Step 4: Simplify right side
    8,083.77x = 50,717,686.18
  5. Step 5: Solve for x
    x = 50,717,686.18/8,083.77
  6. Step 6: Final answer
    x = 6,274.01

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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.