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Finding the Fourth Proportional to 10,969.56, 15,133.16 and 6,989.76

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Solution

The fourth proportional to 10,969.56, 15,133.16 and 6,989.76 is: 9,642.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.56 : 15,133.16 = 6,989.76 : x
  2. Step 2: Convert to fraction form
    10,969.56/15,133.16 = 6,989.76/x
  3. Step 3: Cross multiply
    10,969.56x = 15,133.16 × 6,989.76
  4. Step 4: Simplify right side
    10,969.56x = 105,777,173.92
  5. Step 5: Solve for x
    x = 105,777,173.92/10,969.56
  6. Step 6: Final answer
    x = 9,642.79

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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.