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Finding the Fourth Proportional to 10,419.21, 15,628.77 and 2,628

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Solution

The fourth proportional to 10,419.21, 15,628.77 and 2,628 is: 3,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.21 : 15,628.77 = 2,628 : x
  2. Step 2: Convert to fraction form
    10,419.21/15,628.77 = 2,628/x
  3. Step 3: Cross multiply
    10,419.21x = 15,628.77 × 2,628
  4. Step 4: Simplify right side
    10,419.21x = 41,072,407.56
  5. Step 5: Solve for x
    x = 41,072,407.56/10,419.21
  6. Step 6: Final answer
    x = 3,941.99

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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.