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Finding the Fourth Proportional to 7,669.76, 10,583.60 and 4,311.50

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Solution

The fourth proportional to 7,669.76, 10,583.60 and 4,311.50 is: 5,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.76 : 10,583.60 = 4,311.50 : x
  2. Step 2: Convert to fraction form
    7,669.76/10,583.60 = 4,311.50/x
  3. Step 3: Cross multiply
    7,669.76x = 10,583.60 × 4,311.50
  4. Step 4: Simplify right side
    7,669.76x = 45,631,116.92
  5. Step 5: Solve for x
    x = 45,631,116.92/7,669.76
  6. Step 6: Final answer
    x = 5,949.49

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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.