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Finding the Fourth Proportional to 8,426.74, 11,634.30 and 7,541

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Solution

The fourth proportional to 8,426.74, 11,634.30 and 7,541 is: 10,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.74 : 11,634.30 = 7,541 : x
  2. Step 2: Convert to fraction form
    8,426.74/11,634.30 = 7,541/x
  3. Step 3: Cross multiply
    8,426.74x = 11,634.30 × 7,541
  4. Step 4: Simplify right side
    8,426.74x = 87,734,256.30
  5. Step 5: Solve for x
    x = 87,734,256.30/8,426.74
  6. Step 6: Final answer
    x = 10,411.41

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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.