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Finding the Fourth Proportional to 10,576.32, 15,938.78 and 9,523.42

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Solution

The fourth proportional to 10,576.32, 15,938.78 and 9,523.42 is: 14,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.32 : 15,938.78 = 9,523.42 : x
  2. Step 2: Convert to fraction form
    10,576.32/15,938.78 = 9,523.42/x
  3. Step 3: Cross multiply
    10,576.32x = 15,938.78 × 9,523.42
  4. Step 4: Simplify right side
    10,576.32x = 151,791,635.55
  5. Step 5: Solve for x
    x = 151,791,635.55/10,576.32
  6. Step 6: Final answer
    x = 14,352.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.