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Finding the Fourth Proportional to 8,491.40, 12,737.74 and 2,945

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Solution

The fourth proportional to 8,491.40, 12,737.74 and 2,945 is: 4,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.40 : 12,737.74 = 2,945 : x
  2. Step 2: Convert to fraction form
    8,491.40/12,737.74 = 2,945/x
  3. Step 3: Cross multiply
    8,491.40x = 12,737.74 × 2,945
  4. Step 4: Simplify right side
    8,491.40x = 37,512,644.30
  5. Step 5: Solve for x
    x = 37,512,644.30/8,491.40
  6. Step 6: Final answer
    x = 4,417.72

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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.