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Finding the Fourth Proportional to 7,859.16, 10,845.73 and 4,322.43

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Solution

The fourth proportional to 7,859.16, 10,845.73 and 4,322.43 is: 5,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.16 : 10,845.73 = 4,322.43 : x
  2. Step 2: Convert to fraction form
    7,859.16/10,845.73 = 4,322.43/x
  3. Step 3: Cross multiply
    7,859.16x = 10,845.73 × 4,322.43
  4. Step 4: Simplify right side
    7,859.16x = 46,879,914.13
  5. Step 5: Solve for x
    x = 46,879,914.13/7,859.16
  6. Step 6: Final answer
    x = 5,965.00

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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.