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Finding the Fourth Proportional to 10,774.56, 14,862.36 and 6,991.68

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Solution

The fourth proportional to 10,774.56, 14,862.36 and 6,991.68 is: 9,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.56 : 14,862.36 = 6,991.68 : x
  2. Step 2: Convert to fraction form
    10,774.56/14,862.36 = 6,991.68/x
  3. Step 3: Cross multiply
    10,774.56x = 14,862.36 × 6,991.68
  4. Step 4: Simplify right side
    10,774.56x = 103,912,865.16
  5. Step 5: Solve for x
    x = 103,912,865.16/10,774.56
  6. Step 6: Final answer
    x = 9,644.28

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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.