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Finding the Fourth Proportional to 10,761.89, 14,852.79 and 6,046.16

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Solution

The fourth proportional to 10,761.89, 14,852.79 and 6,046.16 is: 8,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.89 : 14,852.79 = 6,046.16 : x
  2. Step 2: Convert to fraction form
    10,761.89/14,852.79 = 6,046.16/x
  3. Step 3: Cross multiply
    10,761.89x = 14,852.79 × 6,046.16
  4. Step 4: Simplify right side
    10,761.89x = 89,802,270.52
  5. Step 5: Solve for x
    x = 89,802,270.52/10,761.89
  6. Step 6: Final answer
    x = 8,344.47

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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.