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Finding the Fourth Proportional to 10,612.74, 14,645.43 and 5,896.90

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Solution

The fourth proportional to 10,612.74, 14,645.43 and 5,896.90 is: 8,137.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.74 : 14,645.43 = 5,896.90 : x
  2. Step 2: Convert to fraction form
    10,612.74/14,645.43 = 5,896.90/x
  3. Step 3: Cross multiply
    10,612.74x = 14,645.43 × 5,896.90
  4. Step 4: Simplify right side
    10,612.74x = 86,362,636.17
  5. Step 5: Solve for x
    x = 86,362,636.17/10,612.74
  6. Step 6: Final answer
    x = 8,137.64

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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.