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Finding the Fourth Proportional to 11,512.56, 15,866.64 and 8,363.28

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Solution

The fourth proportional to 11,512.56, 15,866.64 and 8,363.28 is: 11,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.56 : 15,866.64 = 8,363.28 : x
  2. Step 2: Convert to fraction form
    11,512.56/15,866.64 = 8,363.28/x
  3. Step 3: Cross multiply
    11,512.56x = 15,866.64 × 8,363.28
  4. Step 4: Simplify right side
    11,512.56x = 132,697,152.98
  5. Step 5: Solve for x
    x = 132,697,152.98/11,512.56
  6. Step 6: Final answer
    x = 11,526.29

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1.5x scale

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.