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Finding the Fourth Proportional to 7,782.62, 10,740.92 and 4,333.55

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Solution

The fourth proportional to 7,782.62, 10,740.92 and 4,333.55 is: 5,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.62 : 10,740.92 = 4,333.55 : x
  2. Step 2: Convert to fraction form
    7,782.62/10,740.92 = 4,333.55/x
  3. Step 3: Cross multiply
    7,782.62x = 10,740.92 × 4,333.55
  4. Step 4: Simplify right side
    7,782.62x = 46,546,319.05
  5. Step 5: Solve for x
    x = 46,546,319.05/7,782.62
  6. Step 6: Final answer
    x = 5,980.80

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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.