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Finding the Fourth Proportional to 6,164.44, 8,501.34 and 5,271.53

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Solution

The fourth proportional to 6,164.44, 8,501.34 and 5,271.53 is: 7,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.44 : 8,501.34 = 5,271.53 : x
  2. Step 2: Convert to fraction form
    6,164.44/8,501.34 = 5,271.53/x
  3. Step 3: Cross multiply
    6,164.44x = 8,501.34 × 5,271.53
  4. Step 4: Simplify right side
    6,164.44x = 44,815,068.85
  5. Step 5: Solve for x
    x = 44,815,068.85/6,164.44
  6. Step 6: Final answer
    x = 7,269.93

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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.