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Finding the Fourth Proportional to 8,599.77, 11,863.67 and 5,411.61

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Solution

The fourth proportional to 8,599.77, 11,863.67 and 5,411.61 is: 7,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.77 : 11,863.67 = 5,411.61 : x
  2. Step 2: Convert to fraction form
    8,599.77/11,863.67 = 5,411.61/x
  3. Step 3: Cross multiply
    8,599.77x = 11,863.67 × 5,411.61
  4. Step 4: Simplify right side
    8,599.77x = 64,201,528.15
  5. Step 5: Solve for x
    x = 64,201,528.15/8,599.77
  6. Step 6: Final answer
    x = 7,465.49

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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.