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Finding the Fourth Proportional to 6,877.84, 10,317.24 and 3,588.88

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Solution

The fourth proportional to 6,877.84, 10,317.24 and 3,588.88 is: 5,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.84 : 10,317.24 = 3,588.88 : x
  2. Step 2: Convert to fraction form
    6,877.84/10,317.24 = 3,588.88/x
  3. Step 3: Cross multiply
    6,877.84x = 10,317.24 × 3,588.88
  4. Step 4: Simplify right side
    6,877.84x = 37,027,336.29
  5. Step 5: Solve for x
    x = 37,027,336.29/6,877.84
  6. Step 6: Final answer
    x = 5,383.57

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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.