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Finding the Fourth Proportional to 6,685.01, 10,006.46 and 5,980.58

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Solution

The fourth proportional to 6,685.01, 10,006.46 and 5,980.58 is: 8,952.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.01 : 10,006.46 = 5,980.58 : x
  2. Step 2: Convert to fraction form
    6,685.01/10,006.46 = 5,980.58/x
  3. Step 3: Cross multiply
    6,685.01x = 10,006.46 × 5,980.58
  4. Step 4: Simplify right side
    6,685.01x = 59,844,434.55
  5. Step 5: Solve for x
    x = 59,844,434.55/6,685.01
  6. Step 6: Final answer
    x = 8,952.03

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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.