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Finding the Fourth Proportional to 7,849.37, 10,830.71 and 5,960.45

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Solution

The fourth proportional to 7,849.37, 10,830.71 and 5,960.45 is: 8,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.37 : 10,830.71 = 5,960.45 : x
  2. Step 2: Convert to fraction form
    7,849.37/10,830.71 = 5,960.45/x
  3. Step 3: Cross multiply
    7,849.37x = 10,830.71 × 5,960.45
  4. Step 4: Simplify right side
    7,849.37x = 64,555,947.40
  5. Step 5: Solve for x
    x = 64,555,947.40/7,849.37
  6. Step 6: Final answer
    x = 8,224.34

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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.