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Finding the Fourth Proportional to 7,381.84, 11,077.62 and 3,486.64

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Solution

The fourth proportional to 7,381.84, 11,077.62 and 3,486.64 is: 5,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.84 : 11,077.62 = 3,486.64 : x
  2. Step 2: Convert to fraction form
    7,381.84/11,077.62 = 3,486.64/x
  3. Step 3: Cross multiply
    7,381.84x = 11,077.62 × 3,486.64
  4. Step 4: Simplify right side
    7,381.84x = 38,623,673.00
  5. Step 5: Solve for x
    x = 38,623,673.00/7,381.84
  6. Step 6: Final answer
    x = 5,232.26

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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.