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Finding the Fourth Proportional to 8,282.09, 11,429.90 and 4,744.62

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Solution

The fourth proportional to 8,282.09, 11,429.90 and 4,744.62 is: 6,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.09 : 11,429.90 = 4,744.62 : x
  2. Step 2: Convert to fraction form
    8,282.09/11,429.90 = 4,744.62/x
  3. Step 3: Cross multiply
    8,282.09x = 11,429.90 × 4,744.62
  4. Step 4: Simplify right side
    8,282.09x = 54,230,532.14
  5. Step 5: Solve for x
    x = 54,230,532.14/8,282.09
  6. Step 6: Final answer
    x = 6,547.93

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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.