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Finding the Fourth Proportional to 11,407.46, 17,112.83 and 3,510.64

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Solution

The fourth proportional to 11,407.46, 17,112.83 and 3,510.64 is: 5,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.46 : 17,112.83 = 3,510.64 : x
  2. Step 2: Convert to fraction form
    11,407.46/17,112.83 = 3,510.64/x
  3. Step 3: Cross multiply
    11,407.46x = 17,112.83 × 3,510.64
  4. Step 4: Simplify right side
    11,407.46x = 60,076,989.35
  5. Step 5: Solve for x
    x = 60,076,989.35/11,407.46
  6. Step 6: Final answer
    x = 5,266.47

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