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Finding the Fourth Proportional to 7,661.09, 10,571.73 and 4,303.25

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Solution

The fourth proportional to 7,661.09, 10,571.73 and 4,303.25 is: 5,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.09 : 10,571.73 = 4,303.25 : x
  2. Step 2: Convert to fraction form
    7,661.09/10,571.73 = 4,303.25/x
  3. Step 3: Cross multiply
    7,661.09x = 10,571.73 × 4,303.25
  4. Step 4: Simplify right side
    7,661.09x = 45,492,841.48
  5. Step 5: Solve for x
    x = 45,492,841.48/7,661.09
  6. Step 6: Final answer
    x = 5,938.17

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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.