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Finding the Fourth Proportional to 10,637.46, 14,674.41 and 7,105.41

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Solution

The fourth proportional to 10,637.46, 14,674.41 and 7,105.41 is: 9,801.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.46 : 14,674.41 = 7,105.41 : x
  2. Step 2: Convert to fraction form
    10,637.46/14,674.41 = 7,105.41/x
  3. Step 3: Cross multiply
    10,637.46x = 14,674.41 × 7,105.41
  4. Step 4: Simplify right side
    10,637.46x = 104,267,699.56
  5. Step 5: Solve for x
    x = 104,267,699.56/10,637.46
  6. Step 6: Final answer
    x = 9,801.94

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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.