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Finding the Fourth Proportional to 6,508.11, 9,758.19 and 2,554.63

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Solution

The fourth proportional to 6,508.11, 9,758.19 and 2,554.63 is: 3,830.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.11 : 9,758.19 = 2,554.63 : x
  2. Step 2: Convert to fraction form
    6,508.11/9,758.19 = 2,554.63/x
  3. Step 3: Cross multiply
    6,508.11x = 9,758.19 × 2,554.63
  4. Step 4: Simplify right side
    6,508.11x = 24,928,564.92
  5. Step 5: Solve for x
    x = 24,928,564.92/6,508.11
  6. Step 6: Final answer
    x = 3,830.38

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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.