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Finding the Fourth Proportional to 10,580.20, 14,593.09 and 6,991.00

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Solution

The fourth proportional to 10,580.20, 14,593.09 and 6,991.00 is: 9,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.20 : 14,593.09 = 6,991.00 : x
  2. Step 2: Convert to fraction form
    10,580.20/14,593.09 = 6,991.00/x
  3. Step 3: Cross multiply
    10,580.20x = 14,593.09 × 6,991.00
  4. Step 4: Simplify right side
    10,580.20x = 102,020,201.75
  5. Step 5: Solve for x
    x = 102,020,201.75/10,580.20
  6. Step 6: Final answer
    x = 9,642.56

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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.