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Finding the Fourth Proportional to 8,043.84, 12,065.76 and 2,848.50

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Solution

The fourth proportional to 8,043.84, 12,065.76 and 2,848.50 is: 4,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.84 : 12,065.76 = 2,848.50 : x
  2. Step 2: Convert to fraction form
    8,043.84/12,065.76 = 2,848.50/x
  3. Step 3: Cross multiply
    8,043.84x = 12,065.76 × 2,848.50
  4. Step 4: Simplify right side
    8,043.84x = 34,369,317.36
  5. Step 5: Solve for x
    x = 34,369,317.36/8,043.84
  6. Step 6: Final answer
    x = 4,272.75

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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.