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Finding the Fourth Proportional to 8,051.52, 12,054.03 and 4,709.64

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Solution

The fourth proportional to 8,051.52, 12,054.03 and 4,709.64 is: 7,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.52 : 12,054.03 = 4,709.64 : x
  2. Step 2: Convert to fraction form
    8,051.52/12,054.03 = 4,709.64/x
  3. Step 3: Cross multiply
    8,051.52x = 12,054.03 × 4,709.64
  4. Step 4: Simplify right side
    8,051.52x = 56,770,141.85
  5. Step 5: Solve for x
    x = 56,770,141.85/8,051.52
  6. Step 6: Final answer
    x = 7,050.86

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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.