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Finding the Fourth Proportional to 7,257.04, 10,014.83 and 4,071.05

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Solution

The fourth proportional to 7,257.04, 10,014.83 and 4,071.05 is: 5,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.04 : 10,014.83 = 4,071.05 : x
  2. Step 2: Convert to fraction form
    7,257.04/10,014.83 = 4,071.05/x
  3. Step 3: Cross multiply
    7,257.04x = 10,014.83 × 4,071.05
  4. Step 4: Simplify right side
    7,257.04x = 40,770,823.60
  5. Step 5: Solve for x
    x = 40,770,823.60/7,257.04
  6. Step 6: Final answer
    x = 5,618.11

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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.