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Finding the Fourth Proportional to 10,464.98, 15,701.84 and 6,519.54

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Solution

The fourth proportional to 10,464.98, 15,701.84 and 6,519.54 is: 9,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.98 : 15,701.84 = 6,519.54 : x
  2. Step 2: Convert to fraction form
    10,464.98/15,701.84 = 6,519.54/x
  3. Step 3: Cross multiply
    10,464.98x = 15,701.84 × 6,519.54
  4. Step 4: Simplify right side
    10,464.98x = 102,368,773.95
  5. Step 5: Solve for x
    x = 102,368,773.95/10,464.98
  6. Step 6: Final answer
    x = 9,782.03

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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.