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Finding the Fourth Proportional to 7,257.40, 10,889.40 and 4,301.67

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Solution

The fourth proportional to 7,257.40, 10,889.40 and 4,301.67 is: 6,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.40 : 10,889.40 = 4,301.67 : x
  2. Step 2: Convert to fraction form
    7,257.40/10,889.40 = 4,301.67/x
  3. Step 3: Cross multiply
    7,257.40x = 10,889.40 × 4,301.67
  4. Step 4: Simplify right side
    7,257.40x = 46,842,662.26
  5. Step 5: Solve for x
    x = 46,842,662.26/7,257.40
  6. Step 6: Final answer
    x = 6,454.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.