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Finding the Fourth Proportional to 10,790.82, 14,886.99 and 8,440.20

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Solution

The fourth proportional to 10,790.82, 14,886.99 and 8,440.20 is: 11,644.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.82 : 14,886.99 = 8,440.20 : x
  2. Step 2: Convert to fraction form
    10,790.82/14,886.99 = 8,440.20/x
  3. Step 3: Cross multiply
    10,790.82x = 14,886.99 × 8,440.20
  4. Step 4: Simplify right side
    10,790.82x = 125,649,173.00
  5. Step 5: Solve for x
    x = 125,649,173.00/10,790.82
  6. Step 6: Final answer
    x = 11,644.08

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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.