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Finding the Fourth Proportional to 10,304.96, 15,461.76 and 3,380.16

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Solution

The fourth proportional to 10,304.96, 15,461.76 and 3,380.16 is: 5,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.96 : 15,461.76 = 3,380.16 : x
  2. Step 2: Convert to fraction form
    10,304.96/15,461.76 = 3,380.16/x
  3. Step 3: Cross multiply
    10,304.96x = 15,461.76 × 3,380.16
  4. Step 4: Simplify right side
    10,304.96x = 52,263,222.68
  5. Step 5: Solve for x
    x = 52,263,222.68/10,304.96
  6. Step 6: Final answer
    x = 5,071.66

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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.