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Finding the Fourth Proportional to 11,878.67, 16,396.28 and 7,399.77

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Solution

The fourth proportional to 11,878.67, 16,396.28 and 7,399.77 is: 10,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.67 : 16,396.28 = 7,399.77 : x
  2. Step 2: Convert to fraction form
    11,878.67/16,396.28 = 7,399.77/x
  3. Step 3: Cross multiply
    11,878.67x = 16,396.28 × 7,399.77
  4. Step 4: Simplify right side
    11,878.67x = 121,328,663.86
  5. Step 5: Solve for x
    x = 121,328,663.86/11,878.67
  6. Step 6: Final answer
    x = 10,214.00

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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.