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Finding the Fourth Proportional to 8,688.25, 11,984.48 and 5,149.09

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Solution

The fourth proportional to 8,688.25, 11,984.48 and 5,149.09 is: 7,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,688.25 : 11,984.48 = 5,149.09 : x
  2. Step 2: Convert to fraction form
    8,688.25/11,984.48 = 5,149.09/x
  3. Step 3: Cross multiply
    8,688.25x = 11,984.48 × 5,149.09
  4. Step 4: Simplify right side
    8,688.25x = 61,709,140.38
  5. Step 5: Solve for x
    x = 61,709,140.38/8,688.25
  6. Step 6: Final answer
    x = 7,102.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.