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Finding the Fourth Proportional to 7,506.09, 10,358.34 and 4,149.13

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Solution

The fourth proportional to 7,506.09, 10,358.34 and 4,149.13 is: 5,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.09 : 10,358.34 = 4,149.13 : x
  2. Step 2: Convert to fraction form
    7,506.09/10,358.34 = 4,149.13/x
  3. Step 3: Cross multiply
    7,506.09x = 10,358.34 × 4,149.13
  4. Step 4: Simplify right side
    7,506.09x = 42,978,099.24
  5. Step 5: Solve for x
    x = 42,978,099.24/7,506.09
  6. Step 6: Final answer
    x = 5,725.76

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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.