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Finding the Fourth Proportional to 8,143.20, 11,242.80 and 5,000.40

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Solution

The fourth proportional to 8,143.20, 11,242.80 and 5,000.40 is: 6,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.20 : 11,242.80 = 5,000.40 : x
  2. Step 2: Convert to fraction form
    8,143.20/11,242.80 = 5,000.40/x
  3. Step 3: Cross multiply
    8,143.20x = 11,242.80 × 5,000.40
  4. Step 4: Simplify right side
    8,143.20x = 56,218,497.12
  5. Step 5: Solve for x
    x = 56,218,497.12/8,143.20
  6. Step 6: Final answer
    x = 6,903.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.