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Finding the Fourth Proportional to 8,210.34, 12,308.49 and 3,766.50

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Solution

The fourth proportional to 8,210.34, 12,308.49 and 3,766.50 is: 5,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.34 : 12,308.49 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    8,210.34/12,308.49 = 3,766.50/x
  3. Step 3: Cross multiply
    8,210.34x = 12,308.49 × 3,766.50
  4. Step 4: Simplify right side
    8,210.34x = 46,359,927.59
  5. Step 5: Solve for x
    x = 46,359,927.59/8,210.34
  6. Step 6: Final answer
    x = 5,646.53

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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.