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Finding the Fourth Proportional to 7,930.64, 11,891.64 and 4,036.88

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Solution

The fourth proportional to 7,930.64, 11,891.64 and 4,036.88 is: 6,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.64 : 11,891.64 = 4,036.88 : x
  2. Step 2: Convert to fraction form
    7,930.64/11,891.64 = 4,036.88/x
  3. Step 3: Cross multiply
    7,930.64x = 11,891.64 × 4,036.88
  4. Step 4: Simplify right side
    7,930.64x = 48,005,123.68
  5. Step 5: Solve for x
    x = 48,005,123.68/7,930.64
  6. Step 6: Final answer
    x = 6,053.12

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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.