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Finding the Fourth Proportional to 7,185.84, 10,778.37 and 2,504.40

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Solution

The fourth proportional to 7,185.84, 10,778.37 and 2,504.40 is: 3,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.84 : 10,778.37 = 2,504.40 : x
  2. Step 2: Convert to fraction form
    7,185.84/10,778.37 = 2,504.40/x
  3. Step 3: Cross multiply
    7,185.84x = 10,778.37 × 2,504.40
  4. Step 4: Simplify right side
    7,185.84x = 26,993,349.83
  5. Step 5: Solve for x
    x = 26,993,349.83/7,185.84
  6. Step 6: Final answer
    x = 3,756.46

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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.