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Finding the Fourth Proportional to 7,898.61, 11,849.14 and 2,968.60

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Solution

The fourth proportional to 7,898.61, 11,849.14 and 2,968.60 is: 4,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.61 : 11,849.14 = 2,968.60 : x
  2. Step 2: Convert to fraction form
    7,898.61/11,849.14 = 2,968.60/x
  3. Step 3: Cross multiply
    7,898.61x = 11,849.14 × 2,968.60
  4. Step 4: Simplify right side
    7,898.61x = 35,175,336.61
  5. Step 5: Solve for x
    x = 35,175,336.61/7,898.61
  6. Step 6: Final answer
    x = 4,453.36

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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.