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Finding the Fourth Proportional to 8,651.48, 12,977.70 and 2,411.50

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Solution

The fourth proportional to 8,651.48, 12,977.70 and 2,411.50 is: 3,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.48 : 12,977.70 = 2,411.50 : x
  2. Step 2: Convert to fraction form
    8,651.48/12,977.70 = 2,411.50/x
  3. Step 3: Cross multiply
    8,651.48x = 12,977.70 × 2,411.50
  4. Step 4: Simplify right side
    8,651.48x = 31,295,658.66
  5. Step 5: Solve for x
    x = 31,295,658.66/8,651.48
  6. Step 6: Final answer
    x = 3,617.38

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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.