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Finding the Fourth Proportional to 7,830.33, 10,805.76 and 4,293.42

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Solution

The fourth proportional to 7,830.33, 10,805.76 and 4,293.42 is: 5,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.33 : 10,805.76 = 4,293.42 : x
  2. Step 2: Convert to fraction form
    7,830.33/10,805.76 = 4,293.42/x
  3. Step 3: Cross multiply
    7,830.33x = 10,805.76 × 4,293.42
  4. Step 4: Simplify right side
    7,830.33x = 46,393,666.10
  5. Step 5: Solve for x
    x = 46,393,666.10/7,830.33
  6. Step 6: Final answer
    x = 5,924.87

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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.