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Finding the Fourth Proportional to 11,564.45, 17,329.40 and 6,363.17

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Solution

The fourth proportional to 11,564.45, 17,329.40 and 6,363.17 is: 9,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.45 : 17,329.40 = 6,363.17 : x
  2. Step 2: Convert to fraction form
    11,564.45/17,329.40 = 6,363.17/x
  3. Step 3: Cross multiply
    11,564.45x = 17,329.40 × 6,363.17
  4. Step 4: Simplify right side
    11,564.45x = 110,269,886.38
  5. Step 5: Solve for x
    x = 110,269,886.38/11,564.45
  6. Step 6: Final answer
    x = 9,535.25

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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.