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Finding the Fourth Proportional to 7,833.09, 10,809.68 and 4,296.32

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Solution

The fourth proportional to 7,833.09, 10,809.68 and 4,296.32 is: 5,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.09 : 10,809.68 = 4,296.32 : x
  2. Step 2: Convert to fraction form
    7,833.09/10,809.68 = 4,296.32/x
  3. Step 3: Cross multiply
    7,833.09x = 10,809.68 × 4,296.32
  4. Step 4: Simplify right side
    7,833.09x = 46,441,809.38
  5. Step 5: Solve for x
    x = 46,441,809.38/7,833.09
  6. Step 6: Final answer
    x = 5,928.92

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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.