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Finding the Fourth Proportional to 7,698.45, 11,546.10 and 2,150.40

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Solution

The fourth proportional to 7,698.45, 11,546.10 and 2,150.40 is: 3,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.45 : 11,546.10 = 2,150.40 : x
  2. Step 2: Convert to fraction form
    7,698.45/11,546.10 = 2,150.40/x
  3. Step 3: Cross multiply
    7,698.45x = 11,546.10 × 2,150.40
  4. Step 4: Simplify right side
    7,698.45x = 24,828,733.44
  5. Step 5: Solve for x
    x = 24,828,733.44/7,698.45
  6. Step 6: Final answer
    x = 3,225.16

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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.