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Finding the Fourth Proportional to 8,034.84, 12,053.48 and 2,839.50

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Solution

The fourth proportional to 8,034.84, 12,053.48 and 2,839.50 is: 4,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.84 : 12,053.48 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    8,034.84/12,053.48 = 2,839.50/x
  3. Step 3: Cross multiply
    8,034.84x = 12,053.48 × 2,839.50
  4. Step 4: Simplify right side
    8,034.84x = 34,225,842.26
  5. Step 5: Solve for x
    x = 34,225,842.26/8,034.84
  6. Step 6: Final answer
    x = 4,259.68

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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.