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Finding the Fourth Proportional to 8,042.82, 11,097.77 and 5,056.55

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Solution

The fourth proportional to 8,042.82, 11,097.77 and 5,056.55 is: 6,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.82 : 11,097.77 = 5,056.55 : x
  2. Step 2: Convert to fraction form
    8,042.82/11,097.77 = 5,056.55/x
  3. Step 3: Cross multiply
    8,042.82x = 11,097.77 × 5,056.55
  4. Step 4: Simplify right side
    8,042.82x = 56,116,428.89
  5. Step 5: Solve for x
    x = 56,116,428.89/8,042.82
  6. Step 6: Final answer
    x = 6,977.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.