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Finding the Fourth Proportional to 8,294.88, 12,434.50 and 4,130.95

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Solution

The fourth proportional to 8,294.88, 12,434.50 and 4,130.95 is: 6,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.88 : 12,434.50 = 4,130.95 : x
  2. Step 2: Convert to fraction form
    8,294.88/12,434.50 = 4,130.95/x
  3. Step 3: Cross multiply
    8,294.88x = 12,434.50 × 4,130.95
  4. Step 4: Simplify right side
    8,294.88x = 51,366,297.78
  5. Step 5: Solve for x
    x = 51,366,297.78/8,294.88
  6. Step 6: Final answer
    x = 6,192.53

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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.