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Finding the Fourth Proportional to 11,918.30, 17,875.98 and 6,923.42

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Solution

The fourth proportional to 11,918.30, 17,875.98 and 6,923.42 is: 10,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.30 : 17,875.98 = 6,923.42 : x
  2. Step 2: Convert to fraction form
    11,918.30/17,875.98 = 6,923.42/x
  3. Step 3: Cross multiply
    11,918.30x = 17,875.98 × 6,923.42
  4. Step 4: Simplify right side
    11,918.30x = 123,762,917.45
  5. Step 5: Solve for x
    x = 123,762,917.45/11,918.30
  6. Step 6: Final answer
    x = 10,384.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.