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Finding the Fourth Proportional to 10,254.44, 15,381.66 and 7,338.44

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Solution

The fourth proportional to 10,254.44, 15,381.66 and 7,338.44 is: 11,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.44 : 15,381.66 = 7,338.44 : x
  2. Step 2: Convert to fraction form
    10,254.44/15,381.66 = 7,338.44/x
  3. Step 3: Cross multiply
    10,254.44x = 15,381.66 × 7,338.44
  4. Step 4: Simplify right side
    10,254.44x = 112,877,389.01
  5. Step 5: Solve for x
    x = 112,877,389.01/10,254.44
  6. Step 6: Final answer
    x = 11,007.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.