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Finding the Fourth Proportional to 7,686.36, 11,504.88 and 5,463.81

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Solution

The fourth proportional to 7,686.36, 11,504.88 and 5,463.81 is: 8,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.36 : 11,504.88 = 5,463.81 : x
  2. Step 2: Convert to fraction form
    7,686.36/11,504.88 = 5,463.81/x
  3. Step 3: Cross multiply
    7,686.36x = 11,504.88 × 5,463.81
  4. Step 4: Simplify right side
    7,686.36x = 62,860,478.39
  5. Step 5: Solve for x
    x = 62,860,478.39/7,686.36
  6. Step 6: Final answer
    x = 8,178.19

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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.