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Finding the Fourth Proportional to 10,572.84, 14,591.04 and 5,857.14

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Solution

The fourth proportional to 10,572.84, 14,591.04 and 5,857.14 is: 8,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.84 : 14,591.04 = 5,857.14 : x
  2. Step 2: Convert to fraction form
    10,572.84/14,591.04 = 5,857.14/x
  3. Step 3: Cross multiply
    10,572.84x = 14,591.04 × 5,857.14
  4. Step 4: Simplify right side
    10,572.84x = 85,461,764.03
  5. Step 5: Solve for x
    x = 85,461,764.03/10,572.84
  6. Step 6: Final answer
    x = 8,083.14

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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.