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Finding the Fourth Proportional to 7,476.90, 11,203.05 and 4,546.38

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Solution

The fourth proportional to 7,476.90, 11,203.05 and 4,546.38 is: 6,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.90 : 11,203.05 = 4,546.38 : x
  2. Step 2: Convert to fraction form
    7,476.90/11,203.05 = 4,546.38/x
  3. Step 3: Cross multiply
    7,476.90x = 11,203.05 × 4,546.38
  4. Step 4: Simplify right side
    7,476.90x = 50,933,322.46
  5. Step 5: Solve for x
    x = 50,933,322.46/7,476.90
  6. Step 6: Final answer
    x = 6,812.09

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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.