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Finding the Fourth Proportional to 7,873.56, 10,865.58 and 4,336.77

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Solution

The fourth proportional to 7,873.56, 10,865.58 and 4,336.77 is: 5,984.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.56 : 10,865.58 = 4,336.77 : x
  2. Step 2: Convert to fraction form
    7,873.56/10,865.58 = 4,336.77/x
  3. Step 3: Cross multiply
    7,873.56x = 10,865.58 × 4,336.77
  4. Step 4: Simplify right side
    7,873.56x = 47,121,521.38
  5. Step 5: Solve for x
    x = 47,121,521.38/7,873.56
  6. Step 6: Final answer
    x = 5,984.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.