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Finding the Fourth Proportional to 7,846.74, 10,828.58 and 4,310.02

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Solution

The fourth proportional to 7,846.74, 10,828.58 and 4,310.02 is: 5,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.74 : 10,828.58 = 4,310.02 : x
  2. Step 2: Convert to fraction form
    7,846.74/10,828.58 = 4,310.02/x
  3. Step 3: Cross multiply
    7,846.74x = 10,828.58 × 4,310.02
  4. Step 4: Simplify right side
    7,846.74x = 46,671,388.36
  5. Step 5: Solve for x
    x = 46,671,388.36/7,846.74
  6. Step 6: Final answer
    x = 5,947.87

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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.