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Finding the Fourth Proportional to 7,945.77, 10,965.09 and 4,409.01

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Solution

The fourth proportional to 7,945.77, 10,965.09 and 4,409.01 is: 6,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.77 : 10,965.09 = 4,409.01 : x
  2. Step 2: Convert to fraction form
    7,945.77/10,965.09 = 4,409.01/x
  3. Step 3: Cross multiply
    7,945.77x = 10,965.09 × 4,409.01
  4. Step 4: Simplify right side
    7,945.77x = 48,345,191.46
  5. Step 5: Solve for x
    x = 48,345,191.46/7,945.77
  6. Step 6: Final answer
    x = 6,084.39

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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.