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Finding the Fourth Proportional to 11,796.34, 16,269.74 and 7,816

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Solution

The fourth proportional to 11,796.34, 16,269.74 and 7,816 is: 10,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.34 : 16,269.74 = 7,816 : x
  2. Step 2: Convert to fraction form
    11,796.34/16,269.74 = 7,816/x
  3. Step 3: Cross multiply
    11,796.34x = 16,269.74 × 7,816
  4. Step 4: Simplify right side
    11,796.34x = 127,164,287.84
  5. Step 5: Solve for x
    x = 127,164,287.84/11,796.34
  6. Step 6: Final answer
    x = 10,779.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.