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Finding the Fourth Proportional to 10,263.11, 14,164.47 and 5,787.05

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Solution

The fourth proportional to 10,263.11, 14,164.47 and 5,787.05 is: 7,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.11 : 14,164.47 = 5,787.05 : x
  2. Step 2: Convert to fraction form
    10,263.11/14,164.47 = 5,787.05/x
  3. Step 3: Cross multiply
    10,263.11x = 14,164.47 × 5,787.05
  4. Step 4: Simplify right side
    10,263.11x = 81,970,425.29
  5. Step 5: Solve for x
    x = 81,970,425.29/10,263.11
  6. Step 6: Final answer
    x = 7,986.90

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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.