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Finding the Fourth Proportional to 5,186.10, 7,273.50 and 5,186.10

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Solution

The fourth proportional to 5,186.10, 7,273.50 and 5,186.10 is: 7,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.10 : 7,273.50 = 5,186.10 : x
  2. Step 2: Convert to fraction form
    5,186.10/7,273.50 = 5,186.10/x
  3. Step 3: Cross multiply
    5,186.10x = 7,273.50 × 5,186.10
  4. Step 4: Simplify right side
    5,186.10x = 37,721,098.35
  5. Step 5: Solve for x
    x = 37,721,098.35/5,186.10
  6. Step 6: Final answer
    x = 7,273.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.