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Finding the Fourth Proportional to 8,296.02, 11,435.13 and 6,500.43

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Solution

The fourth proportional to 8,296.02, 11,435.13 and 6,500.43 is: 8,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.02 : 11,435.13 = 6,500.43 : x
  2. Step 2: Convert to fraction form
    8,296.02/11,435.13 = 6,500.43/x
  3. Step 3: Cross multiply
    8,296.02x = 11,435.13 × 6,500.43
  4. Step 4: Simplify right side
    8,296.02x = 74,333,262.11
  5. Step 5: Solve for x
    x = 74,333,262.11/8,296.02
  6. Step 6: Final answer
    x = 8,960.11

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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.