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Finding the Fourth Proportional to 10,274.88, 15,412.56 and 4,732.86

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Solution

The fourth proportional to 10,274.88, 15,412.56 and 4,732.86 is: 7,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.88 : 15,412.56 = 4,732.86 : x
  2. Step 2: Convert to fraction form
    10,274.88/15,412.56 = 4,732.86/x
  3. Step 3: Cross multiply
    10,274.88x = 15,412.56 × 4,732.86
  4. Step 4: Simplify right side
    10,274.88x = 72,945,488.72
  5. Step 5: Solve for x
    x = 72,945,488.72/10,274.88
  6. Step 6: Final answer
    x = 7,099.40

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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.