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Finding the Fourth Proportional to 11,670.89, 16,098.36 and 7,848.92

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Solution

The fourth proportional to 11,670.89, 16,098.36 and 7,848.92 is: 10,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.89 : 16,098.36 = 7,848.92 : x
  2. Step 2: Convert to fraction form
    11,670.89/16,098.36 = 7,848.92/x
  3. Step 3: Cross multiply
    11,670.89x = 16,098.36 × 7,848.92
  4. Step 4: Simplify right side
    11,670.89x = 126,354,739.77
  5. Step 5: Solve for x
    x = 126,354,739.77/11,670.89
  6. Step 6: Final answer
    x = 10,826.49

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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.