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Finding the Fourth Proportional to 7,460.26, 11,213.64 and 4,704.64

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Solution

The fourth proportional to 7,460.26, 11,213.64 and 4,704.64 is: 7,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.26 : 11,213.64 = 4,704.64 : x
  2. Step 2: Convert to fraction form
    7,460.26/11,213.64 = 4,704.64/x
  3. Step 3: Cross multiply
    7,460.26x = 11,213.64 × 4,704.64
  4. Step 4: Simplify right side
    7,460.26x = 52,756,139.29
  5. Step 5: Solve for x
    x = 52,756,139.29/7,460.26
  6. Step 6: Final answer
    x = 7,071.62

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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.