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Finding the Fourth Proportional to 7,258.01, 10,016.46 and 5,486.54

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Solution

The fourth proportional to 7,258.01, 10,016.46 and 5,486.54 is: 7,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.01 : 10,016.46 = 5,486.54 : x
  2. Step 2: Convert to fraction form
    7,258.01/10,016.46 = 5,486.54/x
  3. Step 3: Cross multiply
    7,258.01x = 10,016.46 × 5,486.54
  4. Step 4: Simplify right side
    7,258.01x = 54,955,658.37
  5. Step 5: Solve for x
    x = 54,955,658.37/7,258.01
  6. Step 6: Final answer
    x = 7,571.73

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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.