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Finding the Fourth Proportional to 6,680.58, 10,017.95 and 3,171.59

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Solution

The fourth proportional to 6,680.58, 10,017.95 and 3,171.59 is: 4,756.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.58 : 10,017.95 = 3,171.59 : x
  2. Step 2: Convert to fraction form
    6,680.58/10,017.95 = 3,171.59/x
  3. Step 3: Cross multiply
    6,680.58x = 10,017.95 × 3,171.59
  4. Step 4: Simplify right side
    6,680.58x = 31,772,801.66
  5. Step 5: Solve for x
    x = 31,772,801.66/6,680.58
  6. Step 6: Final answer
    x = 4,756.00

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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.