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Finding the Fourth Proportional to 8,417.30, 11,616.30 and 4,880.57

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Solution

The fourth proportional to 8,417.30, 11,616.30 and 4,880.57 is: 6,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.30 : 11,616.30 = 4,880.57 : x
  2. Step 2: Convert to fraction form
    8,417.30/11,616.30 = 4,880.57/x
  3. Step 3: Cross multiply
    8,417.30x = 11,616.30 × 4,880.57
  4. Step 4: Simplify right side
    8,417.30x = 56,694,107.21
  5. Step 5: Solve for x
    x = 56,694,107.21/8,417.30
  6. Step 6: Final answer
    x = 6,735.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.