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Finding the Fourth Proportional to 8,303.34, 11,442.81 and 5,941.38

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Solution

The fourth proportional to 8,303.34, 11,442.81 and 5,941.38 is: 8,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.34 : 11,442.81 = 5,941.38 : x
  2. Step 2: Convert to fraction form
    8,303.34/11,442.81 = 5,941.38/x
  3. Step 3: Cross multiply
    8,303.34x = 11,442.81 × 5,941.38
  4. Step 4: Simplify right side
    8,303.34x = 67,986,082.48
  5. Step 5: Solve for x
    x = 67,986,082.48/8,303.34
  6. Step 6: Final answer
    x = 8,187.80

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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.