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Finding the Fourth Proportional to 10,606.74, 14,637.39 and 5,891.10

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Solution

The fourth proportional to 10,606.74, 14,637.39 and 5,891.10 is: 8,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.74 : 14,637.39 = 5,891.10 : x
  2. Step 2: Convert to fraction form
    10,606.74/14,637.39 = 5,891.10/x
  3. Step 3: Cross multiply
    10,606.74x = 14,637.39 × 5,891.10
  4. Step 4: Simplify right side
    10,606.74x = 86,230,328.23
  5. Step 5: Solve for x
    x = 86,230,328.23/10,606.74
  6. Step 6: Final answer
    x = 8,129.77

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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.