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Finding the Fourth Proportional to 7,563.36, 11,342.88 and 3,180

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Solution

The fourth proportional to 7,563.36, 11,342.88 and 3,180 is: 4,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.36 : 11,342.88 = 3,180 : x
  2. Step 2: Convert to fraction form
    7,563.36/11,342.88 = 3,180/x
  3. Step 3: Cross multiply
    7,563.36x = 11,342.88 × 3,180
  4. Step 4: Simplify right side
    7,563.36x = 36,070,358.40
  5. Step 5: Solve for x
    x = 36,070,358.40/7,563.36
  6. Step 6: Final answer
    x = 4,769.09

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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.