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Finding the Fourth Proportional to 6,520.69, 8,995.21 and 4,160.35

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Solution

The fourth proportional to 6,520.69, 8,995.21 and 4,160.35 is: 5,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.69 : 8,995.21 = 4,160.35 : x
  2. Step 2: Convert to fraction form
    6,520.69/8,995.21 = 4,160.35/x
  3. Step 3: Cross multiply
    6,520.69x = 8,995.21 × 4,160.35
  4. Step 4: Simplify right side
    6,520.69x = 37,423,221.92
  5. Step 5: Solve for x
    x = 37,423,221.92/6,520.69
  6. Step 6: Final answer
    x = 5,739.15

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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.