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Finding the Fourth Proportional to 11,846.94, 16,337.75 and 7,864.17

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Solution

The fourth proportional to 11,846.94, 16,337.75 and 7,864.17 is: 10,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.94 : 16,337.75 = 7,864.17 : x
  2. Step 2: Convert to fraction form
    11,846.94/16,337.75 = 7,864.17/x
  3. Step 3: Cross multiply
    11,846.94x = 16,337.75 × 7,864.17
  4. Step 4: Simplify right side
    11,846.94x = 128,482,804.10
  5. Step 5: Solve for x
    x = 128,482,804.10/11,846.94
  6. Step 6: Final answer
    x = 10,845.23

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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.