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Finding the Fourth Proportional to 10,381.71, 14,326.76 and 7,402.73

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Solution

The fourth proportional to 10,381.71, 14,326.76 and 7,402.73 is: 10,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.71 : 14,326.76 = 7,402.73 : x
  2. Step 2: Convert to fraction form
    10,381.71/14,326.76 = 7,402.73/x
  3. Step 3: Cross multiply
    10,381.71x = 14,326.76 × 7,402.73
  4. Step 4: Simplify right side
    10,381.71x = 106,057,136.05
  5. Step 5: Solve for x
    x = 106,057,136.05/10,381.71
  6. Step 6: Final answer
    x = 10,215.77

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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.