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Finding the Fourth Proportional to 10,448.68, 15,673.12 and 2,657.49

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Solution

The fourth proportional to 10,448.68, 15,673.12 and 2,657.49 is: 3,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.68 : 15,673.12 = 2,657.49 : x
  2. Step 2: Convert to fraction form
    10,448.68/15,673.12 = 2,657.49/x
  3. Step 3: Cross multiply
    10,448.68x = 15,673.12 × 2,657.49
  4. Step 4: Simplify right side
    10,448.68x = 41,651,153.03
  5. Step 5: Solve for x
    x = 41,651,153.03/10,448.68
  6. Step 6: Final answer
    x = 3,986.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.