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Finding the Fourth Proportional to 10,606.82, 14,637.13 and 5,890.80

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Solution

The fourth proportional to 10,606.82, 14,637.13 and 5,890.80 is: 8,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.82 : 14,637.13 = 5,890.80 : x
  2. Step 2: Convert to fraction form
    10,606.82/14,637.13 = 5,890.80/x
  3. Step 3: Cross multiply
    10,606.82x = 14,637.13 × 5,890.80
  4. Step 4: Simplify right side
    10,606.82x = 86,224,405.40
  5. Step 5: Solve for x
    x = 86,224,405.40/10,606.82
  6. Step 6: Final answer
    x = 8,129.15

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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.