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Finding the Fourth Proportional to 8,166.76, 12,254.87 and 3,783.99

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Solution

The fourth proportional to 8,166.76, 12,254.87 and 3,783.99 is: 5,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.76 : 12,254.87 = 3,783.99 : x
  2. Step 2: Convert to fraction form
    8,166.76/12,254.87 = 3,783.99/x
  3. Step 3: Cross multiply
    8,166.76x = 12,254.87 × 3,783.99
  4. Step 4: Simplify right side
    8,166.76x = 46,372,225.34
  5. Step 5: Solve for x
    x = 46,372,225.34/8,166.76
  6. Step 6: Final answer
    x = 5,678.17

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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.