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Finding the Fourth Proportional to 8,374.73, 12,564 and 3,631.67

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Solution

The fourth proportional to 8,374.73, 12,564 and 3,631.67 is: 5,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.73 : 12,564 = 3,631.67 : x
  2. Step 2: Convert to fraction form
    8,374.73/12,564 = 3,631.67/x
  3. Step 3: Cross multiply
    8,374.73x = 12,564 × 3,631.67
  4. Step 4: Simplify right side
    8,374.73x = 45,628,239.06
  5. Step 5: Solve for x
    x = 45,628,239.06/8,374.73
  6. Step 6: Final answer
    x = 5,448.33

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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.