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Finding the Fourth Proportional to 11,592.93, 15,993.03 and 7,814.88

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Solution

The fourth proportional to 11,592.93, 15,993.03 and 7,814.88 is: 10,781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.93 : 15,993.03 = 7,814.88 : x
  2. Step 2: Convert to fraction form
    11,592.93/15,993.03 = 7,814.88/x
  3. Step 3: Cross multiply
    11,592.93x = 15,993.03 × 7,814.88
  4. Step 4: Simplify right side
    11,592.93x = 124,983,610.29
  5. Step 5: Solve for x
    x = 124,983,610.29/11,592.93
  6. Step 6: Final answer
    x = 10,781.02

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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.