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Finding the Fourth Proportional to 8,042.96, 12,068.97 and 6,283.02

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Solution

The fourth proportional to 8,042.96, 12,068.97 and 6,283.02 is: 9,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.96 : 12,068.97 = 6,283.02 : x
  2. Step 2: Convert to fraction form
    8,042.96/12,068.97 = 6,283.02/x
  3. Step 3: Cross multiply
    8,042.96x = 12,068.97 × 6,283.02
  4. Step 4: Simplify right side
    8,042.96x = 75,829,579.89
  5. Step 5: Solve for x
    x = 75,829,579.89/8,042.96
  6. Step 6: Final answer
    x = 9,428.07

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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.