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Finding the Fourth Proportional to 7,477.92, 11,216.88 and 2,283.84

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Solution

The fourth proportional to 7,477.92, 11,216.88 and 2,283.84 is: 3,425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.92 : 11,216.88 = 2,283.84 : x
  2. Step 2: Convert to fraction form
    7,477.92/11,216.88 = 2,283.84/x
  3. Step 3: Cross multiply
    7,477.92x = 11,216.88 × 2,283.84
  4. Step 4: Simplify right side
    7,477.92x = 25,617,559.22
  5. Step 5: Solve for x
    x = 25,617,559.22/7,477.92
  6. Step 6: Final answer
    x = 3,425.76

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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.