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Finding the Fourth Proportional to 8,542.94, 12,814.40 and 2,700

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Solution

The fourth proportional to 8,542.94, 12,814.40 and 2,700 is: 4,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.94 : 12,814.40 = 2,700 : x
  2. Step 2: Convert to fraction form
    8,542.94/12,814.40 = 2,700/x
  3. Step 3: Cross multiply
    8,542.94x = 12,814.40 × 2,700
  4. Step 4: Simplify right side
    8,542.94x = 34,598,886.75
  5. Step 5: Solve for x
    x = 34,598,886.75/8,542.94
  6. Step 6: Final answer
    x = 4,050.00

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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.