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Finding the Fourth Proportional to 7,846.76, 10,806.18 and 7,346.31

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Solution

The fourth proportional to 7,846.76, 10,806.18 and 7,346.31 is: 10,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.76 : 10,806.18 = 7,346.31 : x
  2. Step 2: Convert to fraction form
    7,846.76/10,806.18 = 7,346.31/x
  3. Step 3: Cross multiply
    7,846.76x = 10,806.18 × 7,346.31
  4. Step 4: Simplify right side
    7,846.76x = 79,385,548.20
  5. Step 5: Solve for x
    x = 79,385,548.20/7,846.76
  6. Step 6: Final answer
    x = 10,116.99

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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.