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Finding the Fourth Proportional to 10,969.54, 15,122.22 and 7,820.26

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Solution

The fourth proportional to 10,969.54, 15,122.22 and 7,820.26 is: 10,780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.54 : 15,122.22 = 7,820.26 : x
  2. Step 2: Convert to fraction form
    10,969.54/15,122.22 = 7,820.26/x
  3. Step 3: Cross multiply
    10,969.54x = 15,122.22 × 7,820.26
  4. Step 4: Simplify right side
    10,969.54x = 118,259,692.18
  5. Step 5: Solve for x
    x = 118,259,692.18/10,969.54
  6. Step 6: Final answer
    x = 10,780.73

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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.