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Finding the Fourth Proportional to 11,661.64, 17,492.46 and 4,731.28

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Solution

The fourth proportional to 11,661.64, 17,492.46 and 4,731.28 is: 7,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.64 : 17,492.46 = 4,731.28 : x
  2. Step 2: Convert to fraction form
    11,661.64/17,492.46 = 4,731.28/x
  3. Step 3: Cross multiply
    11,661.64x = 17,492.46 × 4,731.28
  4. Step 4: Simplify right side
    11,661.64x = 82,761,726.15
  5. Step 5: Solve for x
    x = 82,761,726.15/11,661.64
  6. Step 6: Final answer
    x = 7,096.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.