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Finding the Fourth Proportional to 11,794.10, 16,277.64 and 7,080.98

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Solution

The fourth proportional to 11,794.10, 16,277.64 and 7,080.98 is: 9,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.10 : 16,277.64 = 7,080.98 : x
  2. Step 2: Convert to fraction form
    11,794.10/16,277.64 = 7,080.98/x
  3. Step 3: Cross multiply
    11,794.10x = 16,277.64 × 7,080.98
  4. Step 4: Simplify right side
    11,794.10x = 115,261,643.29
  5. Step 5: Solve for x
    x = 115,261,643.29/11,794.10
  6. Step 6: Final answer
    x = 9,772.82

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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.