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Finding the Fourth Proportional to 7,549.44, 10,419.46 and 4,193.32

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Solution

The fourth proportional to 7,549.44, 10,419.46 and 4,193.32 is: 5,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.44 : 10,419.46 = 4,193.32 : x
  2. Step 2: Convert to fraction form
    7,549.44/10,419.46 = 4,193.32/x
  3. Step 3: Cross multiply
    7,549.44x = 10,419.46 × 4,193.32
  4. Step 4: Simplify right side
    7,549.44x = 43,692,130.01
  5. Step 5: Solve for x
    x = 43,692,130.01/7,549.44
  6. Step 6: Final answer
    x = 5,787.47

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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.