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Finding the Fourth Proportional to 8,491.61, 12,729.62 and 2,941.07

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Solution

The fourth proportional to 8,491.61, 12,729.62 and 2,941.07 is: 4,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.61 : 12,729.62 = 2,941.07 : x
  2. Step 2: Convert to fraction form
    8,491.61/12,729.62 = 2,941.07/x
  3. Step 3: Cross multiply
    8,491.61x = 12,729.62 × 2,941.07
  4. Step 4: Simplify right side
    8,491.61x = 37,438,703.49
  5. Step 5: Solve for x
    x = 37,438,703.49/8,491.61
  6. Step 6: Final answer
    x = 4,408.91

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Why These Related Problems?

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