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Finding the Fourth Proportional to 10,292.25, 14,201.82 and 5,754.99

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Solution

The fourth proportional to 10,292.25, 14,201.82 and 5,754.99 is: 7,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.25 : 14,201.82 = 5,754.99 : x
  2. Step 2: Convert to fraction form
    10,292.25/14,201.82 = 5,754.99/x
  3. Step 3: Cross multiply
    10,292.25x = 14,201.82 × 5,754.99
  4. Step 4: Simplify right side
    10,292.25x = 81,731,332.08
  5. Step 5: Solve for x
    x = 81,731,332.08/10,292.25
  6. Step 6: Final answer
    x = 7,941.06

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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.