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Finding the Fourth Proportional to 8,026.84, 12,031.94 and 2,830.04

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Solution

The fourth proportional to 8,026.84, 12,031.94 and 2,830.04 is: 4,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.84 : 12,031.94 = 2,830.04 : x
  2. Step 2: Convert to fraction form
    8,026.84/12,031.94 = 2,830.04/x
  3. Step 3: Cross multiply
    8,026.84x = 12,031.94 × 2,830.04
  4. Step 4: Simplify right side
    8,026.84x = 34,050,871.48
  5. Step 5: Solve for x
    x = 34,050,871.48/8,026.84
  6. Step 6: Final answer
    x = 4,242.13

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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.