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Finding the Fourth Proportional to 7,846.80, 10,828.82 and 4,310

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Solution

The fourth proportional to 7,846.80, 10,828.82 and 4,310 is: 5,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.80 : 10,828.82 = 4,310 : x
  2. Step 2: Convert to fraction form
    7,846.80/10,828.82 = 4,310/x
  3. Step 3: Cross multiply
    7,846.80x = 10,828.82 × 4,310
  4. Step 4: Simplify right side
    7,846.80x = 46,672,214.20
  5. Step 5: Solve for x
    x = 46,672,214.20/7,846.80
  6. Step 6: Final answer
    x = 5,947.93

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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.