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Finding the Fourth Proportional to 6,690.78, 10,022.54 and 3,170.12

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Solution

The fourth proportional to 6,690.78, 10,022.54 and 3,170.12 is: 4,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.78 : 10,022.54 = 3,170.12 : x
  2. Step 2: Convert to fraction form
    6,690.78/10,022.54 = 3,170.12/x
  3. Step 3: Cross multiply
    6,690.78x = 10,022.54 × 3,170.12
  4. Step 4: Simplify right side
    6,690.78x = 31,772,612.32
  5. Step 5: Solve for x
    x = 31,772,612.32/6,690.78
  6. Step 6: Final answer
    x = 4,748.72

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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.