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Finding the Fourth Proportional to 11,844.12, 17,762.58 and 4,917

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Solution

The fourth proportional to 11,844.12, 17,762.58 and 4,917 is: 7,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.12 : 17,762.58 = 4,917 : x
  2. Step 2: Convert to fraction form
    11,844.12/17,762.58 = 4,917/x
  3. Step 3: Cross multiply
    11,844.12x = 17,762.58 × 4,917
  4. Step 4: Simplify right side
    11,844.12x = 87,338,605.86
  5. Step 5: Solve for x
    x = 87,338,605.86/11,844.12
  6. Step 6: Final answer
    x = 7,374.01

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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.