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Finding the Fourth Proportional to 7,761.93, 11,660.15 and 4,802.54

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Solution

The fourth proportional to 7,761.93, 11,660.15 and 4,802.54 is: 7,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.93 : 11,660.15 = 4,802.54 : x
  2. Step 2: Convert to fraction form
    7,761.93/11,660.15 = 4,802.54/x
  3. Step 3: Cross multiply
    7,761.93x = 11,660.15 × 4,802.54
  4. Step 4: Simplify right side
    7,761.93x = 55,998,356.07
  5. Step 5: Solve for x
    x = 55,998,356.07/7,761.93
  6. Step 6: Final answer
    x = 7,214.49

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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.