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Finding the Fourth Proportional to 10,381.95, 14,327.10 and 7,402.97

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Solution

The fourth proportional to 10,381.95, 14,327.10 and 7,402.97 is: 10,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.95 : 14,327.10 = 7,402.97 : x
  2. Step 2: Convert to fraction form
    10,381.95/14,327.10 = 7,402.97/x
  3. Step 3: Cross multiply
    10,381.95x = 14,327.10 × 7,402.97
  4. Step 4: Simplify right side
    10,381.95x = 106,063,127.30
  5. Step 5: Solve for x
    x = 106,063,127.30/10,381.95
  6. Step 6: Final answer
    x = 10,216.11

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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.