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Finding the Fourth Proportional to 10,805.02, 14,911.14 and 5,959.90

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Solution

The fourth proportional to 10,805.02, 14,911.14 and 5,959.90 is: 8,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.02 : 14,911.14 = 5,959.90 : x
  2. Step 2: Convert to fraction form
    10,805.02/14,911.14 = 5,959.90/x
  3. Step 3: Cross multiply
    10,805.02x = 14,911.14 × 5,959.90
  4. Step 4: Simplify right side
    10,805.02x = 88,868,903.29
  5. Step 5: Solve for x
    x = 88,868,903.29/10,805.02
  6. Step 6: Final answer
    x = 8,224.78

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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.