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Finding the Fourth Proportional to 6,507.42, 9,760.06 and 2,123.80

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Solution

The fourth proportional to 6,507.42, 9,760.06 and 2,123.80 is: 3,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.42 : 9,760.06 = 2,123.80 : x
  2. Step 2: Convert to fraction form
    6,507.42/9,760.06 = 2,123.80/x
  3. Step 3: Cross multiply
    6,507.42x = 9,760.06 × 2,123.80
  4. Step 4: Simplify right side
    6,507.42x = 20,728,415.43
  5. Step 5: Solve for x
    x = 20,728,415.43/6,507.42
  6. Step 6: Final answer
    x = 3,185.35

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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.