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Finding the Fourth Proportional to 10,606.69, 14,637.23 and 5,891.41

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Solution

The fourth proportional to 10,606.69, 14,637.23 and 5,891.41 is: 8,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.69 : 14,637.23 = 5,891.41 : x
  2. Step 2: Convert to fraction form
    10,606.69/14,637.23 = 5,891.41/x
  3. Step 3: Cross multiply
    10,606.69x = 14,637.23 × 5,891.41
  4. Step 4: Simplify right side
    10,606.69x = 86,233,901.33
  5. Step 5: Solve for x
    x = 86,233,901.33/10,606.69
  6. Step 6: Final answer
    x = 8,130.14

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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.