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Finding the Fourth Proportional to 8,645.24, 12,967.77 and 2,405.22

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Solution

The fourth proportional to 8,645.24, 12,967.77 and 2,405.22 is: 3,607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.24 : 12,967.77 = 2,405.22 : x
  2. Step 2: Convert to fraction form
    8,645.24/12,967.77 = 2,405.22/x
  3. Step 3: Cross multiply
    8,645.24x = 12,967.77 × 2,405.22
  4. Step 4: Simplify right side
    8,645.24x = 31,190,339.76
  5. Step 5: Solve for x
    x = 31,190,339.76/8,645.24
  6. Step 6: Final answer
    x = 3,607.81

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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.