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Finding the Fourth Proportional to 8,495.82, 12,751.02 and 6,308.82

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Solution

The fourth proportional to 8,495.82, 12,751.02 and 6,308.82 is: 9,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.82 : 12,751.02 = 6,308.82 : x
  2. Step 2: Convert to fraction form
    8,495.82/12,751.02 = 6,308.82/x
  3. Step 3: Cross multiply
    8,495.82x = 12,751.02 × 6,308.82
  4. Step 4: Simplify right side
    8,495.82x = 80,443,890.00
  5. Step 5: Solve for x
    x = 80,443,890.00/8,495.82
  6. Step 6: Final answer
    x = 9,468.64

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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.