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Finding the Fourth Proportional to 10,606.25, 14,636.63 and 5,890.57

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Solution

The fourth proportional to 10,606.25, 14,636.63 and 5,890.57 is: 8,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.25 : 14,636.63 = 5,890.57 : x
  2. Step 2: Convert to fraction form
    10,606.25/14,636.63 = 5,890.57/x
  3. Step 3: Cross multiply
    10,606.25x = 14,636.63 × 5,890.57
  4. Step 4: Simplify right side
    10,606.25x = 86,218,093.58
  5. Step 5: Solve for x
    x = 86,218,093.58/10,606.25
  6. Step 6: Final answer
    x = 8,128.99

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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.