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Finding the Fourth Proportional to 11,122.80, 15,342.22 and 7,137.60

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Solution

The fourth proportional to 11,122.80, 15,342.22 and 7,137.60 is: 9,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.80 : 15,342.22 = 7,137.60 : x
  2. Step 2: Convert to fraction form
    11,122.80/15,342.22 = 7,137.60/x
  3. Step 3: Cross multiply
    11,122.80x = 15,342.22 × 7,137.60
  4. Step 4: Simplify right side
    11,122.80x = 109,506,629.47
  5. Step 5: Solve for x
    x = 109,506,629.47/11,122.80
  6. Step 6: Final answer
    x = 9,845.24

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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.