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Finding the Fourth Proportional to 10,997.51, 15,173.06 and 6,744.20

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Solution

The fourth proportional to 10,997.51, 15,173.06 and 6,744.20 is: 9,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.51 : 15,173.06 = 6,744.20 : x
  2. Step 2: Convert to fraction form
    10,997.51/15,173.06 = 6,744.20/x
  3. Step 3: Cross multiply
    10,997.51x = 15,173.06 × 6,744.20
  4. Step 4: Simplify right side
    10,997.51x = 102,330,041.67
  5. Step 5: Solve for x
    x = 102,330,041.67/10,997.51
  6. Step 6: Final answer
    x = 9,304.84

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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.