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Finding the Fourth Proportional to 7,169.36, 10,758.19 and 3,009

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Solution

The fourth proportional to 7,169.36, 10,758.19 and 3,009 is: 4,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.36 : 10,758.19 = 3,009 : x
  2. Step 2: Convert to fraction form
    7,169.36/10,758.19 = 3,009/x
  3. Step 3: Cross multiply
    7,169.36x = 10,758.19 × 3,009
  4. Step 4: Simplify right side
    7,169.36x = 32,371,393.71
  5. Step 5: Solve for x
    x = 32,371,393.71/7,169.36
  6. Step 6: Final answer
    x = 4,515.24

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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.