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Finding the Fourth Proportional to 7,843.86, 11,753.64 and 4,558.50

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Solution

The fourth proportional to 7,843.86, 11,753.64 and 4,558.50 is: 6,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.86 : 11,753.64 = 4,558.50 : x
  2. Step 2: Convert to fraction form
    7,843.86/11,753.64 = 4,558.50/x
  3. Step 3: Cross multiply
    7,843.86x = 11,753.64 × 4,558.50
  4. Step 4: Simplify right side
    7,843.86x = 53,578,967.94
  5. Step 5: Solve for x
    x = 53,578,967.94/7,843.86
  6. Step 6: Final answer
    x = 6,830.69

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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.