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Finding the Fourth Proportional to 7,730.75, 11,597.01 and 2,463.90

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Solution

The fourth proportional to 7,730.75, 11,597.01 and 2,463.90 is: 3,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.75 : 11,597.01 = 2,463.90 : x
  2. Step 2: Convert to fraction form
    7,730.75/11,597.01 = 2,463.90/x
  3. Step 3: Cross multiply
    7,730.75x = 11,597.01 × 2,463.90
  4. Step 4: Simplify right side
    7,730.75x = 28,573,872.94
  5. Step 5: Solve for x
    x = 28,573,872.94/7,730.75
  6. Step 6: Final answer
    x = 3,696.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.