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Finding the Fourth Proportional to 6,689.88, 10,035.05 and 3,178.08

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Solution

The fourth proportional to 6,689.88, 10,035.05 and 3,178.08 is: 4,767.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.88 : 10,035.05 = 3,178.08 : x
  2. Step 2: Convert to fraction form
    6,689.88/10,035.05 = 3,178.08/x
  3. Step 3: Cross multiply
    6,689.88x = 10,035.05 × 3,178.08
  4. Step 4: Simplify right side
    6,689.88x = 31,892,175.81
  5. Step 5: Solve for x
    x = 31,892,175.81/6,689.88
  6. Step 6: Final answer
    x = 4,767.23

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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.