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Finding the Fourth Proportional to 7,830.28, 10,805.76 and 4,293.40

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Solution

The fourth proportional to 7,830.28, 10,805.76 and 4,293.40 is: 5,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.28 : 10,805.76 = 4,293.40 : x
  2. Step 2: Convert to fraction form
    7,830.28/10,805.76 = 4,293.40/x
  3. Step 3: Cross multiply
    7,830.28x = 10,805.76 × 4,293.40
  4. Step 4: Simplify right side
    7,830.28x = 46,393,449.98
  5. Step 5: Solve for x
    x = 46,393,449.98/7,830.28
  6. Step 6: Final answer
    x = 5,924.88

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