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Finding the Fourth Proportional to 10,989.90, 16,448.40 and 7,709.40

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Solution

The fourth proportional to 10,989.90, 16,448.40 and 7,709.40 is: 11,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.90 : 16,448.40 = 7,709.40 : x
  2. Step 2: Convert to fraction form
    10,989.90/16,448.40 = 7,709.40/x
  3. Step 3: Cross multiply
    10,989.90x = 16,448.40 × 7,709.40
  4. Step 4: Simplify right side
    10,989.90x = 126,807,294.96
  5. Step 5: Solve for x
    x = 126,807,294.96/10,989.90
  6. Step 6: Final answer
    x = 11,538.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.