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Finding the Fourth Proportional to 11,232.09, 15,505.27 and 7,255.14

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Solution

The fourth proportional to 11,232.09, 15,505.27 and 7,255.14 is: 10,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.09 : 15,505.27 = 7,255.14 : x
  2. Step 2: Convert to fraction form
    11,232.09/15,505.27 = 7,255.14/x
  3. Step 3: Cross multiply
    11,232.09x = 15,505.27 × 7,255.14
  4. Step 4: Simplify right side
    11,232.09x = 112,492,907.08
  5. Step 5: Solve for x
    x = 112,492,907.08/11,232.09
  6. Step 6: Final answer
    x = 10,015.31

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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.