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Finding the Fourth Proportional to 10,552.60, 14,568.42 and 7,021

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Solution

The fourth proportional to 10,552.60, 14,568.42 and 7,021 is: 9,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.60 : 14,568.42 = 7,021 : x
  2. Step 2: Convert to fraction form
    10,552.60/14,568.42 = 7,021/x
  3. Step 3: Cross multiply
    10,552.60x = 14,568.42 × 7,021
  4. Step 4: Simplify right side
    10,552.60x = 102,284,876.82
  5. Step 5: Solve for x
    x = 102,284,876.82/10,552.60
  6. Step 6: Final answer
    x = 9,692.86

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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.