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Finding the Fourth Proportional to 8,274.29, 12,420.27 and 3,347.15

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Solution

The fourth proportional to 8,274.29, 12,420.27 and 3,347.15 is: 5,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.29 : 12,420.27 = 3,347.15 : x
  2. Step 2: Convert to fraction form
    8,274.29/12,420.27 = 3,347.15/x
  3. Step 3: Cross multiply
    8,274.29x = 12,420.27 × 3,347.15
  4. Step 4: Simplify right side
    8,274.29x = 41,572,444.63
  5. Step 5: Solve for x
    x = 41,572,444.63/8,274.29
  6. Step 6: Final answer
    x = 5,024.29

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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.