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Finding the Fourth Proportional to 11,847.88, 16,344.66 and 6,877

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Solution

The fourth proportional to 11,847.88, 16,344.66 and 6,877 is: 9,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.88 : 16,344.66 = 6,877 : x
  2. Step 2: Convert to fraction form
    11,847.88/16,344.66 = 6,877/x
  3. Step 3: Cross multiply
    11,847.88x = 16,344.66 × 6,877
  4. Step 4: Simplify right side
    11,847.88x = 112,402,226.82
  5. Step 5: Solve for x
    x = 112,402,226.82/11,847.88
  6. Step 6: Final answer
    x = 9,487.12

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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.