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Finding the Fourth Proportional to 10,605.54, 14,638.29 and 6,131.88

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Solution

The fourth proportional to 10,605.54, 14,638.29 and 6,131.88 is: 8,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.54 : 14,638.29 = 6,131.88 : x
  2. Step 2: Convert to fraction form
    10,605.54/14,638.29 = 6,131.88/x
  3. Step 3: Cross multiply
    10,605.54x = 14,638.29 × 6,131.88
  4. Step 4: Simplify right side
    10,605.54x = 89,760,237.69
  5. Step 5: Solve for x
    x = 89,760,237.69/10,605.54
  6. Step 6: Final answer
    x = 8,463.52

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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.