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Finding the Fourth Proportional to 7,361.31, 10,151.66 and 5,680.07

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Solution

The fourth proportional to 7,361.31, 10,151.66 and 5,680.07 is: 7,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.31 : 10,151.66 = 5,680.07 : x
  2. Step 2: Convert to fraction form
    7,361.31/10,151.66 = 5,680.07/x
  3. Step 3: Cross multiply
    7,361.31x = 10,151.66 × 5,680.07
  4. Step 4: Simplify right side
    7,361.31x = 57,662,060.26
  5. Step 5: Solve for x
    x = 57,662,060.26/7,361.31
  6. Step 6: Final answer
    x = 7,833.12

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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.