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Finding the Fourth Proportional to 7,802.73, 10,767.94 and 4,265.94

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Solution

The fourth proportional to 7,802.73, 10,767.94 and 4,265.94 is: 5,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.73 : 10,767.94 = 4,265.94 : x
  2. Step 2: Convert to fraction form
    7,802.73/10,767.94 = 4,265.94/x
  3. Step 3: Cross multiply
    7,802.73x = 10,767.94 × 4,265.94
  4. Step 4: Simplify right side
    7,802.73x = 45,935,385.96
  5. Step 5: Solve for x
    x = 45,935,385.96/7,802.73
  6. Step 6: Final answer
    x = 5,887.09

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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.