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Finding the Fourth Proportional to 7,830.36, 10,805.87 and 4,293.80

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Solution

The fourth proportional to 7,830.36, 10,805.87 and 4,293.80 is: 5,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.36 : 10,805.87 = 4,293.80 : x
  2. Step 2: Convert to fraction form
    7,830.36/10,805.87 = 4,293.80/x
  3. Step 3: Cross multiply
    7,830.36x = 10,805.87 × 4,293.80
  4. Step 4: Simplify right side
    7,830.36x = 46,398,169.11
  5. Step 5: Solve for x
    x = 46,398,169.11/7,830.36
  6. Step 6: Final answer
    x = 5,925.42

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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.