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Finding the Fourth Proportional to 8,345.82, 11,513.34 and 4,806.98

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Solution

The fourth proportional to 8,345.82, 11,513.34 and 4,806.98 is: 6,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.82 : 11,513.34 = 4,806.98 : x
  2. Step 2: Convert to fraction form
    8,345.82/11,513.34 = 4,806.98/x
  3. Step 3: Cross multiply
    8,345.82x = 11,513.34 × 4,806.98
  4. Step 4: Simplify right side
    8,345.82x = 55,344,380.72
  5. Step 5: Solve for x
    x = 55,344,380.72/8,345.82
  6. Step 6: Final answer
    x = 6,631.39

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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.