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Finding the Fourth Proportional to 7,830.36, 10,805.82 and 4,293.90

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Solution

The fourth proportional to 7,830.36, 10,805.82 and 4,293.90 is: 5,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.36 : 10,805.82 = 4,293.90 : x
  2. Step 2: Convert to fraction form
    7,830.36/10,805.82 = 4,293.90/x
  3. Step 3: Cross multiply
    7,830.36x = 10,805.82 × 4,293.90
  4. Step 4: Simplify right side
    7,830.36x = 46,399,110.50
  5. Step 5: Solve for x
    x = 46,399,110.50/7,830.36
  6. Step 6: Final answer
    x = 5,925.54

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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.