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Finding the Fourth Proportional to 8,826.09, 13,235.77 and 2,584.77

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Solution

The fourth proportional to 8,826.09, 13,235.77 and 2,584.77 is: 3,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.09 : 13,235.77 = 2,584.77 : x
  2. Step 2: Convert to fraction form
    8,826.09/13,235.77 = 2,584.77/x
  3. Step 3: Cross multiply
    8,826.09x = 13,235.77 × 2,584.77
  4. Step 4: Simplify right side
    8,826.09x = 34,211,421.22
  5. Step 5: Solve for x
    x = 34,211,421.22/8,826.09
  6. Step 6: Final answer
    x = 3,876.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.