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Finding the Fourth Proportional to 7,846.72, 10,828.40 and 4,490.56

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Solution

The fourth proportional to 7,846.72, 10,828.40 and 4,490.56 is: 6,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.72 : 10,828.40 = 4,490.56 : x
  2. Step 2: Convert to fraction form
    7,846.72/10,828.40 = 4,490.56/x
  3. Step 3: Cross multiply
    7,846.72x = 10,828.40 × 4,490.56
  4. Step 4: Simplify right side
    7,846.72x = 48,625,579.90
  5. Step 5: Solve for x
    x = 48,625,579.90/7,846.72
  6. Step 6: Final answer
    x = 6,196.93

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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.