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Finding the Fourth Proportional to 8,393.82, 11,582.55 and 4,856.46

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Solution

The fourth proportional to 8,393.82, 11,582.55 and 4,856.46 is: 6,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.82 : 11,582.55 = 4,856.46 : x
  2. Step 2: Convert to fraction form
    8,393.82/11,582.55 = 4,856.46/x
  3. Step 3: Cross multiply
    8,393.82x = 11,582.55 × 4,856.46
  4. Step 4: Simplify right side
    8,393.82x = 56,250,190.77
  5. Step 5: Solve for x
    x = 56,250,190.77/8,393.82
  6. Step 6: Final answer
    x = 6,701.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.