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Finding the Fourth Proportional to 8,128.25, 11,216.99 and 4,402.25

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Solution

The fourth proportional to 8,128.25, 11,216.99 and 4,402.25 is: 6,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.25 : 11,216.99 = 4,402.25 : x
  2. Step 2: Convert to fraction form
    8,128.25/11,216.99 = 4,402.25/x
  3. Step 3: Cross multiply
    8,128.25x = 11,216.99 × 4,402.25
  4. Step 4: Simplify right side
    8,128.25x = 49,379,972.22
  5. Step 5: Solve for x
    x = 49,379,972.22/8,128.25
  6. Step 6: Final answer
    x = 6,075.11

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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.