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Finding the Fourth Proportional to 8,230.63, 11,358.36 and 4,694.05

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Solution

The fourth proportional to 8,230.63, 11,358.36 and 4,694.05 is: 6,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.63 : 11,358.36 = 4,694.05 : x
  2. Step 2: Convert to fraction form
    8,230.63/11,358.36 = 4,694.05/x
  3. Step 3: Cross multiply
    8,230.63x = 11,358.36 × 4,694.05
  4. Step 4: Simplify right side
    8,230.63x = 53,316,709.76
  5. Step 5: Solve for x
    x = 53,316,709.76/8,230.63
  6. Step 6: Final answer
    x = 6,477.84

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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.