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Finding the Fourth Proportional to 7,853.68, 10,839.74 and 4,980.55

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Solution

The fourth proportional to 7,853.68, 10,839.74 and 4,980.55 is: 6,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.68 : 10,839.74 = 4,980.55 : x
  2. Step 2: Convert to fraction form
    7,853.68/10,839.74 = 4,980.55/x
  3. Step 3: Cross multiply
    7,853.68x = 10,839.74 × 4,980.55
  4. Step 4: Simplify right side
    7,853.68x = 53,987,857.63
  5. Step 5: Solve for x
    x = 53,987,857.63/7,853.68
  6. Step 6: Final answer
    x = 6,874.21

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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.