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Finding the Fourth Proportional to 10,005.72, 13,799.50 and 7,493.72

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Solution

The fourth proportional to 10,005.72, 13,799.50 and 7,493.72 is: 10,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.72 : 13,799.50 = 7,493.72 : x
  2. Step 2: Convert to fraction form
    10,005.72/13,799.50 = 7,493.72/x
  3. Step 3: Cross multiply
    10,005.72x = 13,799.50 × 7,493.72
  4. Step 4: Simplify right side
    10,005.72x = 103,409,589.14
  5. Step 5: Solve for x
    x = 103,409,589.14/10,005.72
  6. Step 6: Final answer
    x = 10,335.05

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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.