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Finding the Fourth Proportional to 6,164.15, 8,506.58 and 5,693.26

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Solution

The fourth proportional to 6,164.15, 8,506.58 and 5,693.26 is: 7,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.15 : 8,506.58 = 5,693.26 : x
  2. Step 2: Convert to fraction form
    6,164.15/8,506.58 = 5,693.26/x
  3. Step 3: Cross multiply
    6,164.15x = 8,506.58 × 5,693.26
  4. Step 4: Simplify right side
    6,164.15x = 48,430,100.65
  5. Step 5: Solve for x
    x = 48,430,100.65/6,164.15
  6. Step 6: Final answer
    x = 7,856.74

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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.