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Finding the Fourth Proportional to 10,274.20, 15,411.30 and 8,427.40

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Solution

The fourth proportional to 10,274.20, 15,411.30 and 8,427.40 is: 12,641.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.20 : 15,411.30 = 8,427.40 : x
  2. Step 2: Convert to fraction form
    10,274.20/15,411.30 = 8,427.40/x
  3. Step 3: Cross multiply
    10,274.20x = 15,411.30 × 8,427.40
  4. Step 4: Simplify right side
    10,274.20x = 129,877,189.62
  5. Step 5: Solve for x
    x = 129,877,189.62/10,274.20
  6. Step 6: Final answer
    x = 12,641.10

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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.