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Finding the Fourth Proportional to 11,702.37, 16,155.14 and 7,945.41

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Solution

The fourth proportional to 11,702.37, 16,155.14 and 7,945.41 is: 10,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.37 : 16,155.14 = 7,945.41 : x
  2. Step 2: Convert to fraction form
    11,702.37/16,155.14 = 7,945.41/x
  3. Step 3: Cross multiply
    11,702.37x = 16,155.14 × 7,945.41
  4. Step 4: Simplify right side
    11,702.37x = 128,359,171.18
  5. Step 5: Solve for x
    x = 128,359,171.18/11,702.37
  6. Step 6: Final answer
    x = 10,968.65

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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.