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Finding the Fourth Proportional to 7,257.40, 10,015.75 and 4,071.06

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Solution

The fourth proportional to 7,257.40, 10,015.75 and 4,071.06 is: 5,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.40 : 10,015.75 = 4,071.06 : x
  2. Step 2: Convert to fraction form
    7,257.40/10,015.75 = 4,071.06/x
  3. Step 3: Cross multiply
    7,257.40x = 10,015.75 × 4,071.06
  4. Step 4: Simplify right side
    7,257.40x = 40,774,724.28
  5. Step 5: Solve for x
    x = 40,774,724.28/7,257.40
  6. Step 6: Final answer
    x = 5,618.37

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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.