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Finding the Fourth Proportional to 10,527.96, 15,791.72 and 4,287.72

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Solution

The fourth proportional to 10,527.96, 15,791.72 and 4,287.72 is: 6,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.96 : 15,791.72 = 4,287.72 : x
  2. Step 2: Convert to fraction form
    10,527.96/15,791.72 = 4,287.72/x
  3. Step 3: Cross multiply
    10,527.96x = 15,791.72 × 4,287.72
  4. Step 4: Simplify right side
    10,527.96x = 67,710,473.68
  5. Step 5: Solve for x
    x = 67,710,473.68/10,527.96
  6. Step 6: Final answer
    x = 6,431.49

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Why These Related Problems?

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