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Finding the Fourth Proportional to 8,354.34, 12,537.58 and 6,730.50

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Solution

The fourth proportional to 8,354.34, 12,537.58 and 6,730.50 is: 10,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.34 : 12,537.58 = 6,730.50 : x
  2. Step 2: Convert to fraction form
    8,354.34/12,537.58 = 6,730.50/x
  3. Step 3: Cross multiply
    8,354.34x = 12,537.58 × 6,730.50
  4. Step 4: Simplify right side
    8,354.34x = 84,384,182.19
  5. Step 5: Solve for x
    x = 84,384,182.19/8,354.34
  6. Step 6: Final answer
    x = 10,100.64

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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.