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Finding the Fourth Proportional to 8,172.58, 12,257.40 and 3,495.22

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Solution

The fourth proportional to 8,172.58, 12,257.40 and 3,495.22 is: 5,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.58 : 12,257.40 = 3,495.22 : x
  2. Step 2: Convert to fraction form
    8,172.58/12,257.40 = 3,495.22/x
  3. Step 3: Cross multiply
    8,172.58x = 12,257.40 × 3,495.22
  4. Step 4: Simplify right side
    8,172.58x = 42,842,309.63
  5. Step 5: Solve for x
    x = 42,842,309.63/8,172.58
  6. Step 6: Final answer
    x = 5,242.20

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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.