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Finding the Fourth Proportional to 7,185.93, 10,780.11 and 3,677.46

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Solution

The fourth proportional to 7,185.93, 10,780.11 and 3,677.46 is: 5,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.93 : 10,780.11 = 3,677.46 : x
  2. Step 2: Convert to fraction form
    7,185.93/10,780.11 = 3,677.46/x
  3. Step 3: Cross multiply
    7,185.93x = 10,780.11 × 3,677.46
  4. Step 4: Simplify right side
    7,185.93x = 39,643,423.32
  5. Step 5: Solve for x
    x = 39,643,423.32/7,185.93
  6. Step 6: Final answer
    x = 5,516.81

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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.