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Finding the Fourth Proportional to 10,878.44, 14,999.10 and 9,196.88

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Solution

The fourth proportional to 10,878.44, 14,999.10 and 9,196.88 is: 12,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.44 : 14,999.10 = 9,196.88 : x
  2. Step 2: Convert to fraction form
    10,878.44/14,999.10 = 9,196.88/x
  3. Step 3: Cross multiply
    10,878.44x = 14,999.10 × 9,196.88
  4. Step 4: Simplify right side
    10,878.44x = 137,944,847.81
  5. Step 5: Solve for x
    x = 137,944,847.81/10,878.44
  6. Step 6: Final answer
    x = 12,680.58

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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.