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Finding the Fourth Proportional to 7,514.74, 10,370.04 and 4,157.34

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Solution

The fourth proportional to 7,514.74, 10,370.04 and 4,157.34 is: 5,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,514.74 : 10,370.04 = 4,157.34 : x
  2. Step 2: Convert to fraction form
    7,514.74/10,370.04 = 4,157.34/x
  3. Step 3: Cross multiply
    7,514.74x = 10,370.04 × 4,157.34
  4. Step 4: Simplify right side
    7,514.74x = 43,111,782.09
  5. Step 5: Solve for x
    x = 43,111,782.09/7,514.74
  6. Step 6: Final answer
    x = 5,736.96

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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.