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Finding the Fourth Proportional to 7,822.94, 10,795.43 and 4,465.67

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Solution

The fourth proportional to 7,822.94, 10,795.43 and 4,465.67 is: 6,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.94 : 10,795.43 = 4,465.67 : x
  2. Step 2: Convert to fraction form
    7,822.94/10,795.43 = 4,465.67/x
  3. Step 3: Cross multiply
    7,822.94x = 10,795.43 × 4,465.67
  4. Step 4: Simplify right side
    7,822.94x = 48,208,805.56
  5. Step 5: Solve for x
    x = 48,208,805.56/7,822.94
  6. Step 6: Final answer
    x = 6,162.49

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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.