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Finding the Fourth Proportional to 8,491.52, 12,738.14 and 2,943.59

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Solution

The fourth proportional to 8,491.52, 12,738.14 and 2,943.59 is: 4,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.52 : 12,738.14 = 2,943.59 : x
  2. Step 2: Convert to fraction form
    8,491.52/12,738.14 = 2,943.59/x
  3. Step 3: Cross multiply
    8,491.52x = 12,738.14 × 2,943.59
  4. Step 4: Simplify right side
    8,491.52x = 37,495,783.11
  5. Step 5: Solve for x
    x = 37,495,783.11/8,491.52
  6. Step 6: Final answer
    x = 4,415.68

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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.