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Finding the Fourth Proportional to 11,803.98, 16,296.27 and 7,830.48

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Solution

The fourth proportional to 11,803.98, 16,296.27 and 7,830.48 is: 10,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.98 : 16,296.27 = 7,830.48 : x
  2. Step 2: Convert to fraction form
    11,803.98/16,296.27 = 7,830.48/x
  3. Step 3: Cross multiply
    11,803.98x = 16,296.27 × 7,830.48
  4. Step 4: Simplify right side
    11,803.98x = 127,607,616.31
  5. Step 5: Solve for x
    x = 127,607,616.31/11,803.98
  6. Step 6: Final answer
    x = 10,810.56

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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.