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Finding the Fourth Proportional to 10,304.54, 15,446.04 and 4,761.53

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Solution

The fourth proportional to 10,304.54, 15,446.04 and 4,761.53 is: 7,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.54 : 15,446.04 = 4,761.53 : x
  2. Step 2: Convert to fraction form
    10,304.54/15,446.04 = 4,761.53/x
  3. Step 3: Cross multiply
    10,304.54x = 15,446.04 × 4,761.53
  4. Step 4: Simplify right side
    10,304.54x = 73,546,782.84
  5. Step 5: Solve for x
    x = 73,546,782.84/10,304.54
  6. Step 6: Final answer
    x = 7,137.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.