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Finding the Fourth Proportional to 6,507.10, 9,767.13 and 3,586.78

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Solution

The fourth proportional to 6,507.10, 9,767.13 and 3,586.78 is: 5,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.10 : 9,767.13 = 3,586.78 : x
  2. Step 2: Convert to fraction form
    6,507.10/9,767.13 = 3,586.78/x
  3. Step 3: Cross multiply
    6,507.10x = 9,767.13 × 3,586.78
  4. Step 4: Simplify right side
    6,507.10x = 35,032,546.54
  5. Step 5: Solve for x
    x = 35,032,546.54/6,507.10
  6. Step 6: Final answer
    x = 5,383.74

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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.