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Finding the Fourth Proportional to 11,656.65, 16,073.45 and 7,873.25

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Solution

The fourth proportional to 11,656.65, 16,073.45 and 7,873.25 is: 10,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.65 : 16,073.45 = 7,873.25 : x
  2. Step 2: Convert to fraction form
    11,656.65/16,073.45 = 7,873.25/x
  3. Step 3: Cross multiply
    11,656.65x = 16,073.45 × 7,873.25
  4. Step 4: Simplify right side
    11,656.65x = 126,550,290.21
  5. Step 5: Solve for x
    x = 126,550,290.21/11,656.65
  6. Step 6: Final answer
    x = 10,856.49

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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.