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Finding the Fourth Proportional to 11,675.96, 16,116.98 and 6,895.92

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Solution

The fourth proportional to 11,675.96, 16,116.98 and 6,895.92 is: 9,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.96 : 16,116.98 = 6,895.92 : x
  2. Step 2: Convert to fraction form
    11,675.96/16,116.98 = 6,895.92/x
  3. Step 3: Cross multiply
    11,675.96x = 16,116.98 × 6,895.92
  4. Step 4: Simplify right side
    11,675.96x = 111,141,404.72
  5. Step 5: Solve for x
    x = 111,141,404.72/11,675.96
  6. Step 6: Final answer
    x = 9,518.82

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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.