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Finding the Fourth Proportional to 7,886.73, 11,830.02 and 5,414.01

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Solution

The fourth proportional to 7,886.73, 11,830.02 and 5,414.01 is: 8,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.73 : 11,830.02 = 5,414.01 : x
  2. Step 2: Convert to fraction form
    7,886.73/11,830.02 = 5,414.01/x
  3. Step 3: Cross multiply
    7,886.73x = 11,830.02 × 5,414.01
  4. Step 4: Simplify right side
    7,886.73x = 64,047,846.58
  5. Step 5: Solve for x
    x = 64,047,846.58/7,886.73
  6. Step 6: Final answer
    x = 8,120.96

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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.