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Finding the Fourth Proportional to 8,951.58, 13,431.83 and 4,023

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Solution

The fourth proportional to 8,951.58, 13,431.83 and 4,023 is: 6,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.58 : 13,431.83 = 4,023 : x
  2. Step 2: Convert to fraction form
    8,951.58/13,431.83 = 4,023/x
  3. Step 3: Cross multiply
    8,951.58x = 13,431.83 × 4,023
  4. Step 4: Simplify right side
    8,951.58x = 54,036,231.98
  5. Step 5: Solve for x
    x = 54,036,231.98/8,951.58
  6. Step 6: Final answer
    x = 6,036.50

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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.