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Finding the Fourth Proportional to 6,519.38, 9,777.53 and 3,007.19

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Solution

The fourth proportional to 6,519.38, 9,777.53 and 3,007.19 is: 4,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.38 : 9,777.53 = 3,007.19 : x
  2. Step 2: Convert to fraction form
    6,519.38/9,777.53 = 3,007.19/x
  3. Step 3: Cross multiply
    6,519.38x = 9,777.53 × 3,007.19
  4. Step 4: Simplify right side
    6,519.38x = 29,402,826.52
  5. Step 5: Solve for x
    x = 29,402,826.52/6,519.38
  6. Step 6: Final answer
    x = 4,510.07

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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.