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Finding the Fourth Proportional to 11,804.80, 16,276.80 and 7,087.36

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Solution

The fourth proportional to 11,804.80, 16,276.80 and 7,087.36 is: 9,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.80 : 16,276.80 = 7,087.36 : x
  2. Step 2: Convert to fraction form
    11,804.80/16,276.80 = 7,087.36/x
  3. Step 3: Cross multiply
    11,804.80x = 16,276.80 × 7,087.36
  4. Step 4: Simplify right side
    11,804.80x = 115,359,541.25
  5. Step 5: Solve for x
    x = 115,359,541.25/11,804.80
  6. Step 6: Final answer
    x = 9,772.26

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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.