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Finding the Fourth Proportional to 7,286.57, 10,054.56 and 4,596.77

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Solution

The fourth proportional to 7,286.57, 10,054.56 and 4,596.77 is: 6,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.57 : 10,054.56 = 4,596.77 : x
  2. Step 2: Convert to fraction form
    7,286.57/10,054.56 = 4,596.77/x
  3. Step 3: Cross multiply
    7,286.57x = 10,054.56 × 4,596.77
  4. Step 4: Simplify right side
    7,286.57x = 46,218,542.15
  5. Step 5: Solve for x
    x = 46,218,542.15/7,286.57
  6. Step 6: Final answer
    x = 6,342.98

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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.