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Finding the Fourth Proportional to 7,661.02, 10,571.14 and 4,303.97

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Solution

The fourth proportional to 7,661.02, 10,571.14 and 4,303.97 is: 5,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.02 : 10,571.14 = 4,303.97 : x
  2. Step 2: Convert to fraction form
    7,661.02/10,571.14 = 4,303.97/x
  3. Step 3: Cross multiply
    7,661.02x = 10,571.14 × 4,303.97
  4. Step 4: Simplify right side
    7,661.02x = 45,497,869.43
  5. Step 5: Solve for x
    x = 45,497,869.43/7,661.02
  6. Step 6: Final answer
    x = 5,938.88

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Why These Related Problems?

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