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Finding the Fourth Proportional to 8,211.69, 12,317.53 and 3,017.56

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Solution

The fourth proportional to 8,211.69, 12,317.53 and 3,017.56 is: 4,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.69 : 12,317.53 = 3,017.56 : x
  2. Step 2: Convert to fraction form
    8,211.69/12,317.53 = 3,017.56/x
  3. Step 3: Cross multiply
    8,211.69x = 12,317.53 × 3,017.56
  4. Step 4: Simplify right side
    8,211.69x = 37,168,885.83
  5. Step 5: Solve for x
    x = 37,168,885.83/8,211.69
  6. Step 6: Final answer
    x = 4,526.34

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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.