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Finding the Fourth Proportional to 10,857.36, 14,983.08 and 6,142.64

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Solution

The fourth proportional to 10,857.36, 14,983.08 and 6,142.64 is: 8,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.36 : 14,983.08 = 6,142.64 : x
  2. Step 2: Convert to fraction form
    10,857.36/14,983.08 = 6,142.64/x
  3. Step 3: Cross multiply
    10,857.36x = 14,983.08 × 6,142.64
  4. Step 4: Simplify right side
    10,857.36x = 92,035,666.53
  5. Step 5: Solve for x
    x = 92,035,666.53/10,857.36
  6. Step 6: Final answer
    x = 8,476.80

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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.