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Finding the Fourth Proportional to 11,848.48, 16,351.23 and 6,813.88

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Solution

The fourth proportional to 11,848.48, 16,351.23 and 6,813.88 is: 9,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.48 : 16,351.23 = 6,813.88 : x
  2. Step 2: Convert to fraction form
    11,848.48/16,351.23 = 6,813.88/x
  3. Step 3: Cross multiply
    11,848.48x = 16,351.23 × 6,813.88
  4. Step 4: Simplify right side
    11,848.48x = 111,415,319.07
  5. Step 5: Solve for x
    x = 111,415,319.07/11,848.48
  6. Step 6: Final answer
    x = 9,403.34

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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.