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Finding the Fourth Proportional to 8,165.60, 12,192.94 and 7,944.16

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Solution

The fourth proportional to 8,165.60, 12,192.94 and 7,944.16 is: 11,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.60 : 12,192.94 = 7,944.16 : x
  2. Step 2: Convert to fraction form
    8,165.60/12,192.94 = 7,944.16/x
  3. Step 3: Cross multiply
    8,165.60x = 12,192.94 × 7,944.16
  4. Step 4: Simplify right side
    8,165.60x = 96,862,666.23
  5. Step 5: Solve for x
    x = 96,862,666.23/8,165.60
  6. Step 6: Final answer
    x = 11,862.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.