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Finding the Fourth Proportional to 8,941.40, 12,295.38 and 7,760.42

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Solution

The fourth proportional to 8,941.40, 12,295.38 and 7,760.42 is: 10,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.40 : 12,295.38 = 7,760.42 : x
  2. Step 2: Convert to fraction form
    8,941.40/12,295.38 = 7,760.42/x
  3. Step 3: Cross multiply
    8,941.40x = 12,295.38 × 7,760.42
  4. Step 4: Simplify right side
    8,941.40x = 95,417,312.86
  5. Step 5: Solve for x
    x = 95,417,312.86/8,941.40
  6. Step 6: Final answer
    x = 10,671.41

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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.