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Finding the Fourth Proportional to 8,235.40, 11,351.64 and 6,464.02

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Solution

The fourth proportional to 8,235.40, 11,351.64 and 6,464.02 is: 8,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.40 : 11,351.64 = 6,464.02 : x
  2. Step 2: Convert to fraction form
    8,235.40/11,351.64 = 6,464.02/x
  3. Step 3: Cross multiply
    8,235.40x = 11,351.64 × 6,464.02
  4. Step 4: Simplify right side
    8,235.40x = 73,377,227.99
  5. Step 5: Solve for x
    x = 73,377,227.99/8,235.40
  6. Step 6: Final answer
    x = 8,909.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.