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Finding the Fourth Proportional to 8,348.43, 12,462.98 and 8,056.40

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Solution

The fourth proportional to 8,348.43, 12,462.98 and 8,056.40 is: 12,027.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.43 : 12,462.98 = 8,056.40 : x
  2. Step 2: Convert to fraction form
    8,348.43/12,462.98 = 8,056.40/x
  3. Step 3: Cross multiply
    8,348.43x = 12,462.98 × 8,056.40
  4. Step 4: Simplify right side
    8,348.43x = 100,406,649.48
  5. Step 5: Solve for x
    x = 100,406,649.48/8,348.43
  6. Step 6: Final answer
    x = 12,027.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.