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Finding the Fourth Proportional to 8,329, 11,494.02 and 4,603

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Solution

The fourth proportional to 8,329, 11,494.02 and 4,603 is: 6,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329 : 11,494.02 = 4,603 : x
  2. Step 2: Convert to fraction form
    8,329/11,494.02 = 4,603/x
  3. Step 3: Cross multiply
    8,329x = 11,494.02 × 4,603
  4. Step 4: Simplify right side
    8,329x = 52,906,974.06
  5. Step 5: Solve for x
    x = 52,906,974.06/8,329
  6. Step 6: Final answer
    x = 6,352.14

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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.