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Finding the Fourth Proportional to 8,484.10, 11,695.68 and 5,958.64

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Solution

The fourth proportional to 8,484.10, 11,695.68 and 5,958.64 is: 8,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.10 : 11,695.68 = 5,958.64 : x
  2. Step 2: Convert to fraction form
    8,484.10/11,695.68 = 5,958.64/x
  3. Step 3: Cross multiply
    8,484.10x = 11,695.68 × 5,958.64
  4. Step 4: Simplify right side
    8,484.10x = 69,690,346.68
  5. Step 5: Solve for x
    x = 69,690,346.68/8,484.10
  6. Step 6: Final answer
    x = 8,214.23

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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.