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Finding the Fourth Proportional to 10,606.23, 14,636.62 and 5,890.51

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Solution

The fourth proportional to 10,606.23, 14,636.62 and 5,890.51 is: 8,128.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.23 : 14,636.62 = 5,890.51 : x
  2. Step 2: Convert to fraction form
    10,606.23/14,636.62 = 5,890.51/x
  3. Step 3: Cross multiply
    10,606.23x = 14,636.62 × 5,890.51
  4. Step 4: Simplify right side
    10,606.23x = 86,217,160.05
  5. Step 5: Solve for x
    x = 86,217,160.05/10,606.23
  6. Step 6: Final answer
    x = 8,128.92

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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.