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Finding the Fourth Proportional to 11,433.76, 15,760.76 and 10,517.28

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Solution

The fourth proportional to 11,433.76, 15,760.76 and 10,517.28 is: 14,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.76 : 15,760.76 = 10,517.28 : x
  2. Step 2: Convert to fraction form
    11,433.76/15,760.76 = 10,517.28/x
  3. Step 3: Cross multiply
    11,433.76x = 15,760.76 × 10,517.28
  4. Step 4: Simplify right side
    11,433.76x = 165,760,325.93
  5. Step 5: Solve for x
    x = 165,760,325.93/11,433.76
  6. Step 6: Final answer
    x = 14,497.45

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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.