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Finding the Fourth Proportional to 7,632.60, 11,448.66 and 4,533.84

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Solution

The fourth proportional to 7,632.60, 11,448.66 and 4,533.84 is: 6,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,632.60 : 11,448.66 = 4,533.84 : x
  2. Step 2: Convert to fraction form
    7,632.60/11,448.66 = 4,533.84/x
  3. Step 3: Cross multiply
    7,632.60x = 11,448.66 × 4,533.84
  4. Step 4: Simplify right side
    7,632.60x = 51,906,392.65
  5. Step 5: Solve for x
    x = 51,906,392.65/7,632.60
  6. Step 6: Final answer
    x = 6,800.62

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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.