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Finding the Fourth Proportional to 8,212.77, 12,307.34 and 3,531.47

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Solution

The fourth proportional to 8,212.77, 12,307.34 and 3,531.47 is: 5,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.77 : 12,307.34 = 3,531.47 : x
  2. Step 2: Convert to fraction form
    8,212.77/12,307.34 = 3,531.47/x
  3. Step 3: Cross multiply
    8,212.77x = 12,307.34 × 3,531.47
  4. Step 4: Simplify right side
    8,212.77x = 43,462,949.28
  5. Step 5: Solve for x
    x = 43,462,949.28/8,212.77
  6. Step 6: Final answer
    x = 5,292.12

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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.