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Finding the Fourth Proportional to 11,069.36, 15,276.36 and 6,353.60

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Solution

The fourth proportional to 11,069.36, 15,276.36 and 6,353.60 is: 8,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069.36 : 15,276.36 = 6,353.60 : x
  2. Step 2: Convert to fraction form
    11,069.36/15,276.36 = 6,353.60/x
  3. Step 3: Cross multiply
    11,069.36x = 15,276.36 × 6,353.60
  4. Step 4: Simplify right side
    11,069.36x = 97,059,880.90
  5. Step 5: Solve for x
    x = 97,059,880.90/11,069.36
  6. Step 6: Final answer
    x = 8,768.34

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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.