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Finding the Fourth Proportional to 10,512.81, 15,777.04 and 4,967.86

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Solution

The fourth proportional to 10,512.81, 15,777.04 and 4,967.86 is: 7,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.81 : 15,777.04 = 4,967.86 : x
  2. Step 2: Convert to fraction form
    10,512.81/15,777.04 = 4,967.86/x
  3. Step 3: Cross multiply
    10,512.81x = 15,777.04 × 4,967.86
  4. Step 4: Simplify right side
    10,512.81x = 78,378,125.93
  5. Step 5: Solve for x
    x = 78,378,125.93/10,512.81
  6. Step 6: Final answer
    x = 7,455.49

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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.