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Finding the Fourth Proportional to 8,046.70, 12,070.05 and 5,422.30

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Solution

The fourth proportional to 8,046.70, 12,070.05 and 5,422.30 is: 8,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.70 : 12,070.05 = 5,422.30 : x
  2. Step 2: Convert to fraction form
    8,046.70/12,070.05 = 5,422.30/x
  3. Step 3: Cross multiply
    8,046.70x = 12,070.05 × 5,422.30
  4. Step 4: Simplify right side
    8,046.70x = 65,447,432.12
  5. Step 5: Solve for x
    x = 65,447,432.12/8,046.70
  6. Step 6: Final answer
    x = 8,133.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.