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Finding the Fourth Proportional to 10,795.37, 14,893.17 and 7,969.47

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Solution

The fourth proportional to 10,795.37, 14,893.17 and 7,969.47 is: 10,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.37 : 14,893.17 = 7,969.47 : x
  2. Step 2: Convert to fraction form
    10,795.37/14,893.17 = 7,969.47/x
  3. Step 3: Cross multiply
    10,795.37x = 14,893.17 × 7,969.47
  4. Step 4: Simplify right side
    10,795.37x = 118,690,671.52
  5. Step 5: Solve for x
    x = 118,690,671.52/10,795.37
  6. Step 6: Final answer
    x = 10,994.60

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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.