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Finding the Fourth Proportional to 7,477.46, 11,216.24 and 1,930.43

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Solution

The fourth proportional to 7,477.46, 11,216.24 and 1,930.43 is: 2,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.46 : 11,216.24 = 1,930.43 : x
  2. Step 2: Convert to fraction form
    7,477.46/11,216.24 = 1,930.43/x
  3. Step 3: Cross multiply
    7,477.46x = 11,216.24 × 1,930.43
  4. Step 4: Simplify right side
    7,477.46x = 21,652,123.29
  5. Step 5: Solve for x
    x = 21,652,123.29/7,477.46
  6. Step 6: Final answer
    x = 2,895.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.