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Finding the Fourth Proportional to 7,322.06, 10,106.27 and 4,180.07

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Solution

The fourth proportional to 7,322.06, 10,106.27 and 4,180.07 is: 5,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.06 : 10,106.27 = 4,180.07 : x
  2. Step 2: Convert to fraction form
    7,322.06/10,106.27 = 4,180.07/x
  3. Step 3: Cross multiply
    7,322.06x = 10,106.27 × 4,180.07
  4. Step 4: Simplify right side
    7,322.06x = 42,244,936.08
  5. Step 5: Solve for x
    x = 42,244,936.08/7,322.06
  6. Step 6: Final answer
    x = 5,769.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.