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Finding the Fourth Proportional to 10,292.95, 14,204.99 and 5,817.11

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Solution

The fourth proportional to 10,292.95, 14,204.99 and 5,817.11 is: 8,028.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.95 : 14,204.99 = 5,817.11 : x
  2. Step 2: Convert to fraction form
    10,292.95/14,204.99 = 5,817.11/x
  3. Step 3: Cross multiply
    10,292.95x = 14,204.99 × 5,817.11
  4. Step 4: Simplify right side
    10,292.95x = 82,631,960.29
  5. Step 5: Solve for x
    x = 82,631,960.29/10,292.95
  6. Step 6: Final answer
    x = 8,028.02

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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.