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Finding the Fourth Proportional to 7,792.65, 11,682.02 and 3,406.64

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Solution

The fourth proportional to 7,792.65, 11,682.02 and 3,406.64 is: 5,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.65 : 11,682.02 = 3,406.64 : x
  2. Step 2: Convert to fraction form
    7,792.65/11,682.02 = 3,406.64/x
  3. Step 3: Cross multiply
    7,792.65x = 11,682.02 × 3,406.64
  4. Step 4: Simplify right side
    7,792.65x = 39,796,386.72
  5. Step 5: Solve for x
    x = 39,796,386.72/7,792.65
  6. Step 6: Final answer
    x = 5,106.91

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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.