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Finding the Fourth Proportional to 6,507.12, 9,760.48 and 3,386.08

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Solution

The fourth proportional to 6,507.12, 9,760.48 and 3,386.08 is: 5,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.12 : 9,760.48 = 3,386.08 : x
  2. Step 2: Convert to fraction form
    6,507.12/9,760.48 = 3,386.08/x
  3. Step 3: Cross multiply
    6,507.12x = 9,760.48 × 3,386.08
  4. Step 4: Simplify right side
    6,507.12x = 33,049,766.12
  5. Step 5: Solve for x
    x = 33,049,766.12/6,507.12
  6. Step 6: Final answer
    x = 5,079.02

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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.