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Finding the Fourth Proportional to 7,584.66, 10,463.94 and 5,599.98

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Solution

The fourth proportional to 7,584.66, 10,463.94 and 5,599.98 is: 7,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.66 : 10,463.94 = 5,599.98 : x
  2. Step 2: Convert to fraction form
    7,584.66/10,463.94 = 5,599.98/x
  3. Step 3: Cross multiply
    7,584.66x = 10,463.94 × 5,599.98
  4. Step 4: Simplify right side
    7,584.66x = 58,597,854.72
  5. Step 5: Solve for x
    x = 58,597,854.72/7,584.66
  6. Step 6: Final answer
    x = 7,725.84

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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.