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Finding the Fourth Proportional to 10,941.80, 15,099.68 and 5,973.80

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Solution

The fourth proportional to 10,941.80, 15,099.68 and 5,973.80 is: 8,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.80 : 15,099.68 = 5,973.80 : x
  2. Step 2: Convert to fraction form
    10,941.80/15,099.68 = 5,973.80/x
  3. Step 3: Cross multiply
    10,941.80x = 15,099.68 × 5,973.80
  4. Step 4: Simplify right side
    10,941.80x = 90,202,468.38
  5. Step 5: Solve for x
    x = 90,202,468.38/10,941.80
  6. Step 6: Final answer
    x = 8,243.84

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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.