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Finding the Fourth Proportional to 7,477.40, 11,203.80 and 4,546.88

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Solution

The fourth proportional to 7,477.40, 11,203.80 and 4,546.88 is: 6,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.40 : 11,203.80 = 4,546.88 : x
  2. Step 2: Convert to fraction form
    7,477.40/11,203.80 = 4,546.88/x
  3. Step 3: Cross multiply
    7,477.40x = 11,203.80 × 4,546.88
  4. Step 4: Simplify right side
    7,477.40x = 50,942,334.14
  5. Step 5: Solve for x
    x = 50,942,334.14/7,477.40
  6. Step 6: Final answer
    x = 6,812.84

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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.