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Finding the Fourth Proportional to 7,653.97, 11,479.64 and 2,106.08

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Solution

The fourth proportional to 7,653.97, 11,479.64 and 2,106.08 is: 3,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.97 : 11,479.64 = 2,106.08 : x
  2. Step 2: Convert to fraction form
    7,653.97/11,479.64 = 2,106.08/x
  3. Step 3: Cross multiply
    7,653.97x = 11,479.64 × 2,106.08
  4. Step 4: Simplify right side
    7,653.97x = 24,177,040.21
  5. Step 5: Solve for x
    x = 24,177,040.21/7,653.97
  6. Step 6: Final answer
    x = 3,158.76

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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.