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Finding the Fourth Proportional to 11,848.69, 17,781.54 and 6,919.84

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Solution

The fourth proportional to 11,848.69, 17,781.54 and 6,919.84 is: 10,384.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.69 : 17,781.54 = 6,919.84 : x
  2. Step 2: Convert to fraction form
    11,848.69/17,781.54 = 6,919.84/x
  3. Step 3: Cross multiply
    11,848.69x = 17,781.54 × 6,919.84
  4. Step 4: Simplify right side
    11,848.69x = 123,045,411.75
  5. Step 5: Solve for x
    x = 123,045,411.75/11,848.69
  6. Step 6: Final answer
    x = 10,384.73

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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.