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Finding the Fourth Proportional to 7,047.42, 10,574.91 and 3,347.34

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Solution

The fourth proportional to 7,047.42, 10,574.91 and 3,347.34 is: 5,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.42 : 10,574.91 = 3,347.34 : x
  2. Step 2: Convert to fraction form
    7,047.42/10,574.91 = 3,347.34/x
  3. Step 3: Cross multiply
    7,047.42x = 10,574.91 × 3,347.34
  4. Step 4: Simplify right side
    7,047.42x = 35,397,819.24
  5. Step 5: Solve for x
    x = 35,397,819.24/7,047.42
  6. Step 6: Final answer
    x = 5,022.81

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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.