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Finding the Fourth Proportional to 8,282.25, 11,429.51 and 4,556.25

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Solution

The fourth proportional to 8,282.25, 11,429.51 and 4,556.25 is: 6,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.25 : 11,429.51 = 4,556.25 : x
  2. Step 2: Convert to fraction form
    8,282.25/11,429.51 = 4,556.25/x
  3. Step 3: Cross multiply
    8,282.25x = 11,429.51 × 4,556.25
  4. Step 4: Simplify right side
    8,282.25x = 52,075,682.16
  5. Step 5: Solve for x
    x = 52,075,682.16/8,282.25
  6. Step 6: Final answer
    x = 6,287.63

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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.