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Finding the Fourth Proportional to 8,564.58, 12,842.01 and 4,176.54

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Solution

The fourth proportional to 8,564.58, 12,842.01 and 4,176.54 is: 6,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.58 : 12,842.01 = 4,176.54 : x
  2. Step 2: Convert to fraction form
    8,564.58/12,842.01 = 4,176.54/x
  3. Step 3: Cross multiply
    8,564.58x = 12,842.01 × 4,176.54
  4. Step 4: Simplify right side
    8,564.58x = 53,635,168.45
  5. Step 5: Solve for x
    x = 53,635,168.45/8,564.58
  6. Step 6: Final answer
    x = 6,262.44

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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.