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Finding the Fourth Proportional to 10,354.49, 14,289.80 and 7,797.67

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Solution

The fourth proportional to 10,354.49, 14,289.80 and 7,797.67 is: 10,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.49 : 14,289.80 = 7,797.67 : x
  2. Step 2: Convert to fraction form
    10,354.49/14,289.80 = 7,797.67/x
  3. Step 3: Cross multiply
    10,354.49x = 14,289.80 × 7,797.67
  4. Step 4: Simplify right side
    10,354.49x = 111,427,180.49
  5. Step 5: Solve for x
    x = 111,427,180.49/10,354.49
  6. Step 6: Final answer
    x = 10,761.24

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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.