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Finding the Fourth Proportional to 10,992.41, 16,484.82 and 7,314.00

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Solution

The fourth proportional to 10,992.41, 16,484.82 and 7,314.00 is: 10,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.41 : 16,484.82 = 7,314.00 : x
  2. Step 2: Convert to fraction form
    10,992.41/16,484.82 = 7,314.00/x
  3. Step 3: Cross multiply
    10,992.41x = 16,484.82 × 7,314.00
  4. Step 4: Simplify right side
    10,992.41x = 120,569,884.23
  5. Step 5: Solve for x
    x = 120,569,884.23/10,992.41
  6. Step 6: Final answer
    x = 10,968.47

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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.