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Finding the Fourth Proportional to 6,164.24, 8,507.40 and 4,072.72

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Solution

The fourth proportional to 6,164.24, 8,507.40 and 4,072.72 is: 5,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.24 : 8,507.40 = 4,072.72 : x
  2. Step 2: Convert to fraction form
    6,164.24/8,507.40 = 4,072.72/x
  3. Step 3: Cross multiply
    6,164.24x = 8,507.40 × 4,072.72
  4. Step 4: Simplify right side
    6,164.24x = 34,648,258.13
  5. Step 5: Solve for x
    x = 34,648,258.13/6,164.24
  6. Step 6: Final answer
    x = 5,620.85

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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.