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Finding the Fourth Proportional to 7,924.86, 10,935.96 and 4,780.98

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Solution

The fourth proportional to 7,924.86, 10,935.96 and 4,780.98 is: 6,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.86 : 10,935.96 = 4,780.98 : x
  2. Step 2: Convert to fraction form
    7,924.86/10,935.96 = 4,780.98/x
  3. Step 3: Cross multiply
    7,924.86x = 10,935.96 × 4,780.98
  4. Step 4: Simplify right side
    7,924.86x = 52,284,606.04
  5. Step 5: Solve for x
    x = 52,284,606.04/7,924.86
  6. Step 6: Final answer
    x = 6,597.54

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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.