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Finding the Fourth Proportional to 8,292.36, 11,443.50 and 4,756.44

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Solution

The fourth proportional to 8,292.36, 11,443.50 and 4,756.44 is: 6,563.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.36 : 11,443.50 = 4,756.44 : x
  2. Step 2: Convert to fraction form
    8,292.36/11,443.50 = 4,756.44/x
  3. Step 3: Cross multiply
    8,292.36x = 11,443.50 × 4,756.44
  4. Step 4: Simplify right side
    8,292.36x = 54,430,321.14
  5. Step 5: Solve for x
    x = 54,430,321.14/8,292.36
  6. Step 6: Final answer
    x = 6,563.91

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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.