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Finding the Fourth Proportional to 8,046.84, 12,070.26 and 2,851.50

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Solution

The fourth proportional to 8,046.84, 12,070.26 and 2,851.50 is: 4,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.84 : 12,070.26 = 2,851.50 : x
  2. Step 2: Convert to fraction form
    8,046.84/12,070.26 = 2,851.50/x
  3. Step 3: Cross multiply
    8,046.84x = 12,070.26 × 2,851.50
  4. Step 4: Simplify right side
    8,046.84x = 34,418,346.39
  5. Step 5: Solve for x
    x = 34,418,346.39/8,046.84
  6. Step 6: Final answer
    x = 4,277.25

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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.