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Finding the Fourth Proportional to 8,038.48, 12,056.76 and 3,422.80

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Solution

The fourth proportional to 8,038.48, 12,056.76 and 3,422.80 is: 5,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.48 : 12,056.76 = 3,422.80 : x
  2. Step 2: Convert to fraction form
    8,038.48/12,056.76 = 3,422.80/x
  3. Step 3: Cross multiply
    8,038.48x = 12,056.76 × 3,422.80
  4. Step 4: Simplify right side
    8,038.48x = 41,267,878.13
  5. Step 5: Solve for x
    x = 41,267,878.13/8,038.48
  6. Step 6: Final answer
    x = 5,133.79

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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.