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Finding the Fourth Proportional to 10,638.57, 14,681.11 and 5,858.41

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Solution

The fourth proportional to 10,638.57, 14,681.11 and 5,858.41 is: 8,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.57 : 14,681.11 = 5,858.41 : x
  2. Step 2: Convert to fraction form
    10,638.57/14,681.11 = 5,858.41/x
  3. Step 3: Cross multiply
    10,638.57x = 14,681.11 × 5,858.41
  4. Step 4: Simplify right side
    10,638.57x = 86,007,932.32
  5. Step 5: Solve for x
    x = 86,007,932.32/10,638.57
  6. Step 6: Final answer
    x = 8,084.54

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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.