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Finding the Fourth Proportional to 7,828.20, 10,803.00 and 4,471.46

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Solution

The fourth proportional to 7,828.20, 10,803.00 and 4,471.46 is: 6,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.20 : 10,803.00 = 4,471.46 : x
  2. Step 2: Convert to fraction form
    7,828.20/10,803.00 = 4,471.46/x
  3. Step 3: Cross multiply
    7,828.20x = 10,803.00 × 4,471.46
  4. Step 4: Simplify right side
    7,828.20x = 48,305,185.64
  5. Step 5: Solve for x
    x = 48,305,185.64/7,828.20
  6. Step 6: Final answer
    x = 6,170.66

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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.