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Finding the Fourth Proportional to 8,276.51, 12,398.14 and 3,827.94

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Solution

The fourth proportional to 8,276.51, 12,398.14 and 3,827.94 is: 5,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.51 : 12,398.14 = 3,827.94 : x
  2. Step 2: Convert to fraction form
    8,276.51/12,398.14 = 3,827.94/x
  3. Step 3: Cross multiply
    8,276.51x = 12,398.14 × 3,827.94
  4. Step 4: Simplify right side
    8,276.51x = 47,459,254.90
  5. Step 5: Solve for x
    x = 47,459,254.90/8,276.51
  6. Step 6: Final answer
    x = 5,734.21

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Why These Related Problems?

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