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Finding the Fourth Proportional to 8,823, 12,181.14 and 5,684.76

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Solution

The fourth proportional to 8,823, 12,181.14 and 5,684.76 is: 7,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823 : 12,181.14 = 5,684.76 : x
  2. Step 2: Convert to fraction form
    8,823/12,181.14 = 5,684.76/x
  3. Step 3: Cross multiply
    8,823x = 12,181.14 × 5,684.76
  4. Step 4: Simplify right side
    8,823x = 69,246,857.43
  5. Step 5: Solve for x
    x = 69,246,857.43/8,823
  6. Step 6: Final answer
    x = 7,848.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.