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Finding the Fourth Proportional to 8,204.54, 12,307.73 and 3,010.41

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Solution

The fourth proportional to 8,204.54, 12,307.73 and 3,010.41 is: 4,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.54 : 12,307.73 = 3,010.41 : x
  2. Step 2: Convert to fraction form
    8,204.54/12,307.73 = 3,010.41/x
  3. Step 3: Cross multiply
    8,204.54x = 12,307.73 × 3,010.41
  4. Step 4: Simplify right side
    8,204.54x = 37,051,298.42
  5. Step 5: Solve for x
    x = 37,051,298.42/8,204.54
  6. Step 6: Final answer
    x = 4,515.95

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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.