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Finding the Fourth Proportional to 11,563.44, 15,957.55 and 6,258.26

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Solution

The fourth proportional to 11,563.44, 15,957.55 and 6,258.26 is: 8,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.44 : 15,957.55 = 6,258.26 : x
  2. Step 2: Convert to fraction form
    11,563.44/15,957.55 = 6,258.26/x
  3. Step 3: Cross multiply
    11,563.44x = 15,957.55 × 6,258.26
  4. Step 4: Simplify right side
    11,563.44x = 99,866,385.78
  5. Step 5: Solve for x
    x = 99,866,385.78/11,563.44
  6. Step 6: Final answer
    x = 8,636.39

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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.