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Finding the Fourth Proportional to 8,038.17, 12,056.04 and 2,844.05

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Solution

The fourth proportional to 8,038.17, 12,056.04 and 2,844.05 is: 4,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.17 : 12,056.04 = 2,844.05 : x
  2. Step 2: Convert to fraction form
    8,038.17/12,056.04 = 2,844.05/x
  3. Step 3: Cross multiply
    8,038.17x = 12,056.04 × 2,844.05
  4. Step 4: Simplify right side
    8,038.17x = 34,287,920.28
  5. Step 5: Solve for x
    x = 34,287,920.28/8,038.17
  6. Step 6: Final answer
    x = 4,265.64

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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.