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Finding the Fourth Proportional to 8,208.52, 12,281.64 and 5,034.64

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Solution

The fourth proportional to 8,208.52, 12,281.64 and 5,034.64 is: 7,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.52 : 12,281.64 = 5,034.64 : x
  2. Step 2: Convert to fraction form
    8,208.52/12,281.64 = 5,034.64/x
  3. Step 3: Cross multiply
    8,208.52x = 12,281.64 × 5,034.64
  4. Step 4: Simplify right side
    8,208.52x = 61,833,636.01
  5. Step 5: Solve for x
    x = 61,833,636.01/8,208.52
  6. Step 6: Final answer
    x = 7,532.86

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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.