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Finding the Fourth Proportional to 7,924.44, 10,936 and 4,780.02

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Solution

The fourth proportional to 7,924.44, 10,936 and 4,780.02 is: 6,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.44 : 10,936 = 4,780.02 : x
  2. Step 2: Convert to fraction form
    7,924.44/10,936 = 4,780.02/x
  3. Step 3: Cross multiply
    7,924.44x = 10,936 × 4,780.02
  4. Step 4: Simplify right side
    7,924.44x = 52,274,298.72
  5. Step 5: Solve for x
    x = 52,274,298.72/7,924.44
  6. Step 6: Final answer
    x = 6,596.59

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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.