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Finding the Fourth Proportional to 10,362.21, 14,294.48 and 7,006.19

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Solution

The fourth proportional to 10,362.21, 14,294.48 and 7,006.19 is: 9,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.21 : 14,294.48 = 7,006.19 : x
  2. Step 2: Convert to fraction form
    10,362.21/14,294.48 = 7,006.19/x
  3. Step 3: Cross multiply
    10,362.21x = 14,294.48 × 7,006.19
  4. Step 4: Simplify right side
    10,362.21x = 100,149,736.33
  5. Step 5: Solve for x
    x = 100,149,736.33/10,362.21
  6. Step 6: Final answer
    x = 9,664.90

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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.