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Finding the Fourth Proportional to 11,753.40, 16,205.52 and 10,157.16

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Solution

The fourth proportional to 11,753.40, 16,205.52 and 10,157.16 is: 14,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.40 : 16,205.52 = 10,157.16 : x
  2. Step 2: Convert to fraction form
    11,753.40/16,205.52 = 10,157.16/x
  3. Step 3: Cross multiply
    11,753.40x = 16,205.52 × 10,157.16
  4. Step 4: Simplify right side
    11,753.40x = 164,602,059.52
  5. Step 5: Solve for x
    x = 164,602,059.52/11,753.40
  6. Step 6: Final answer
    x = 14,004.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.