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Finding the Fourth Proportional to 8,513.40, 11,747.68 and 4,736.20

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Solution

The fourth proportional to 8,513.40, 11,747.68 and 4,736.20 is: 6,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.40 : 11,747.68 = 4,736.20 : x
  2. Step 2: Convert to fraction form
    8,513.40/11,747.68 = 4,736.20/x
  3. Step 3: Cross multiply
    8,513.40x = 11,747.68 × 4,736.20
  4. Step 4: Simplify right side
    8,513.40x = 55,639,362.02
  5. Step 5: Solve for x
    x = 55,639,362.02/8,513.40
  6. Step 6: Final answer
    x = 6,535.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.