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Finding the Fourth Proportional to 10,607.63, 14,639.13 and 5,892.21

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Solution

The fourth proportional to 10,607.63, 14,639.13 and 5,892.21 is: 8,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.63 : 14,639.13 = 5,892.21 : x
  2. Step 2: Convert to fraction form
    10,607.63/14,639.13 = 5,892.21/x
  3. Step 3: Cross multiply
    10,607.63x = 14,639.13 × 5,892.21
  4. Step 4: Simplify right side
    10,607.63x = 86,256,828.18
  5. Step 5: Solve for x
    x = 86,256,828.18/10,607.63
  6. Step 6: Final answer
    x = 8,131.59

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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.