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Finding the Fourth Proportional to 8,530.92, 12,793.14 and 4,145.58

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Solution

The fourth proportional to 8,530.92, 12,793.14 and 4,145.58 is: 6,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.92 : 12,793.14 = 4,145.58 : x
  2. Step 2: Convert to fraction form
    8,530.92/12,793.14 = 4,145.58/x
  3. Step 3: Cross multiply
    8,530.92x = 12,793.14 × 4,145.58
  4. Step 4: Simplify right side
    8,530.92x = 53,034,985.32
  5. Step 5: Solve for x
    x = 53,034,985.32/8,530.92
  6. Step 6: Final answer
    x = 6,216.80

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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.