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Finding the Fourth Proportional to 10,607.63, 14,639.13 and 5,893.43

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Solution

The fourth proportional to 10,607.63, 14,639.13 and 5,893.43 is: 8,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.63 : 14,639.13 = 5,893.43 : x
  2. Step 2: Convert to fraction form
    10,607.63/14,639.13 = 5,893.43/x
  3. Step 3: Cross multiply
    10,607.63x = 14,639.13 × 5,893.43
  4. Step 4: Simplify right side
    10,607.63x = 86,274,614.72
  5. Step 5: Solve for x
    x = 86,274,614.72/10,607.63
  6. Step 6: Final answer
    x = 8,133.26

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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.